Get PDF Advanced Vibrations: A Modern Approach

Free download. Book file PDF easily for everyone and every device. You can download and read online Advanced Vibrations: A Modern Approach file PDF Book only if you are registered here. And also you can download or read online all Book PDF file that related with Advanced Vibrations: A Modern Approach book. Happy reading Advanced Vibrations: A Modern Approach Bookeveryone. Download file Free Book PDF Advanced Vibrations: A Modern Approach at Complete PDF Library. This Book have some digital formats such us :paperbook, ebook, kindle, epub, fb2 and another formats. Here is The CompletePDF Book Library. It's free to register here to get Book file PDF Advanced Vibrations: A Modern Approach Pocket Guide.

The increased demand in energy and the need for sustainable and renewable sources of electricity in hazardous environments with significantly growing population yields the installation of more wind turbines in these areas. In addition, the technological development in material and construction methods has led to the building of taller and more flexible turbines, with inherent low structural damping. Installing modern wind turbines in offshore harsh environments or seismic prone areas can cause an increment in the probability of failure due to excessive vibrations.

The current study evaluates the performance of onshore and offshore wind turbines under multihazard loads, including wind, wave, earthquake, and mass and aerodynamic imbalances for both parked and operating conditions. The results show the effectiveness of employing an analytical approach for the design of semiactive controllers in vibration mitigation of a wind turbine subjected to multiple hazards. Volume 25 , Issue The full text of this article hosted at iucr.

If you do not receive an email within 10 minutes, your email address may not be registered, and you may need to create a new Wiley Online Library account. If the address matches an existing account you will receive an email with instructions to retrieve your username. Read the full text. Tools Request permission Export citation Add to favorites Track citation. Share Give access Share full text access. Share full text access. Please review our Terms and Conditions of Use and check box below to share full-text version of article.

Summary The increased demand in energy and the need for sustainable and renewable sources of electricity in hazardous environments with significantly growing population yields the installation of more wind turbines in these areas. Citing Literature. Volume 25 , Issue 12 December e Use of sensors and data acquisition. Laboratory report writing; error analysis; engineering ethics. Fundamental principles of environmental design. Building a working prototype or computer model for an environmental engineering application.

Work in teams to propose and design experiments and components, obtain data, complete engineering analysis, and write a report. Engineering ethics and professionalism. Prerequisites: MAE A. Harmonically excited vibrations. Vibration of multiple degree-of-freedom systems. Observations, including beat frequencies, static and dynamic coupling, traveling and standing wave phenomena.

Vibration of continuous systems. Distributed and point forces and moments in continuous systems and the generalized Dirac distribution. Response to impact and impulse excitation. Modeling continuous systems with approximate discrete models. Concepts of stress and strain. Axial loading of bars. Torsion of circular shafts. Shearing and normal stresses in beam bending.

Deflections in beams. Statically determinate and indeterminate problems. Combined loading. Principal stresses and design criteria. Buckling of columns. Analysis of 3-D states of stress and strain. Governing equations of linear elasticity. Solution of elasticity problems in rectangular and polar coordinates. Stress concentration. Failure criteria. Torsion of noncircular and thin walled members.

Energy methods. Plastic collapse and limit analysis. MAE Development of stiffness and mass matrices based upon variational principles and application to static, dynamic, and design problems in structural and solid mechanics. Architecture of computer codes for linear and nonlinear finite element analysis. The use of general-purpose finite element codes. Not offered every year. Steady state and dynamic behavior of linear, lumped-parameter electrical circuits.

RLC circuits. Node and mesh analysis. Operational amplifiers. Signal acquisition and conditioning. Electric motors. Design applications in engineering. The dynamics of vehicles in space or air are derived for analysis of the stability properties of spacecraft and aircraft. The theory of flight, lift, drag, Dutch roll and phugoid modes of aircraft are discussed. Optimal state space control theory for the design of analog and digital controllers autopilots.

Dynamic modeling and vector differential equations. Concepts of state, input, output.


Linearization around equilibria. Laplace transform, solutions to ODEs. Transfer functions and convolution representation of dynamic systems. Discrete signals, difference equations, z-transform. Continuous and discrete Fourier transform. Analysis and design of feedback systems in the frequency domain. Transfer functions.

Time response specifications. PID controllers and Ziegler-Nichols tuning. Stability via Routh-Hurwitz test. Root locus method. Frequence response: Bode and Nyquist diagrams. Dynamic compensators, phase-lead and phase-lag. Actuator saturation and integrator wind-up. Prerequisites: MAE A or consent of instructor. Each student builds, models, programs, and controls an unstable robotic system built around a small Linux computer.

B dynamics, signals and systems, linear circuits; PWMs, H-bridges, quadrature encoders. C embedded Linux, C, graphical programming; multithreaded applications; bus communication to supporting ICs.

Advanced Vibrations: A Modern Approach - AbeBooks - Reza N. N. Jazar:

This course is an introduction to robotic planning algorithms and programming. Prerequisites: senior standing and MAE B, or consent of instructor. Fundamentals of autonomous vehicles. Topics include robotics system integration, computer vision, algorithms for navigation, on-vehicle vs. Cross-listed with ECE Characteristics of chemical, biological, seismic and other physical sensors; signal processing techniques supporting distributed detection of salient events; wireless communication and networking protocols supporting formation of robust censor fabrics; current experience with low power, low-cost sensor deployments.

May be coscheduled with SIOC Computer-aided analysis and design. Design methodology, tolerance analysis, Monte Carlo analysis, kinematics and computer-aided design of linkages, numerical calculations of moments of inertia, design of cams and cam dynamics; finite element analysis, design using Pro-E, Mechanica Motion and Mechanica Structures.

This course will teach teams of students how to develop concepts and business plans in the design of new and innovative products. Emphasis will be placed on identifying user needs, concept generation, and prototype fabrication. Prerequisites: upper-division standing and consent of instructor. Fundamental principles of aerospace vehicle design including the conceptual, preliminary, and detailed design phases. Aeronautical or astronautical design project that integrates all appropriate engineering disciplines as well as issues associated with optimization, teamwork, manufacturability, reporting, and professionalism.

The principles of aerospace vehicle design including the conceptual, preliminary, and detailed design phases. Fundamental principles of mechanical design and the design process. Application of engineering science to the design and analysis of mechanical components. Initiation of team design projects that culminate in MAE B with a working prototype designed for a real engineering application. Professional ethics discussed. Open to major code MC 27 only. Culmination of a team design project initiated in MAE A which results in a working prototype designed for a real engineering application.

Elasticity and inelasticity, dislocations and plasticity of crystals, creep, and strengthening mechanisms. Mechanical behavior of ceramics, composites, and polymers. Fracture: mechanical and microstructural. Laboratory demonstrations of selected topics. The engineering and scientific aspects of crack nucleation, slow crack growth, and unstable fracture in crystalline and amorphous solids. Microstructural effects on crack initiation, fatigue crack growth and fracture toughness. Methods of fatigue testing and fracture toughness testing.

Fractography and microfractography. Design safe methodologies and failure prevention. Failure analysis of real engineering structures. Cross-listed with NANO Basic principles of synthesis techniques, processing, microstructural control and unique physical properties of materials in nanodimensions. Nanowires, quantum dots, thin films, electrical transport, optical behavior, mechanical behavior, and technical applications of nanomaterials. Pressure and shear waves in infinite solids.

Reflection and diffraction. Rayleigh and Love waves in semi-infinite space. Impulse load on a half space. Waveguides and group velocity. Principles and practice of measurement and control and the design and conduct of experiments. Technical report writing. Lectures relate to dimensional analysis, error analysis, signal-to-noise problems, filtering, data acquisition and data reduction, as well as background of experiments and statistical analysis.

Experiments relate to the use of electronic devices and sensors. Design and analysis of experiments in fluid mechanics, solid mechanics, and control engineering. Experiments in wind tunnel, water tunnel, vibration table and material testing machines, and refined electromechanical systems.

Enrollment restricted to MC 27 majors only. Design and analysis of original experiments in mechanical engineering. Students research projects using experimental facilities in undergraduate laboratories: wind tunnel, water channel, vibration table, and testing machine and control systems. Students propose and design experiments, obtain data, complete engineering analysis and write a major report.

Analysis of aerospace engineering systems using experimental facilities in undergraduate laboratories: wind tunnel, water channel, vibration table, and testing machine. Students operate facilities, obtain data, complete engineering analysis and write major reports.

Astrodynamics, orbital motion, perturbations, coordinate systems and frames of reference. Geosynchronous orbits, stationkeeping. Orbital maneuvers, fuel consumption, guidance systems. Observation instrument point, tracking, control.

Engineering - Mechanical

Basic rocket dynamics. Navigation, telemetry, re-entry, and aero-assisted maneuvers. Mission design. Students perform analyses based on mission requirements. Prerequisites: upper-division standing in physics, mathematics, or engineering department. Space mission concepts, architectures, and analysis. Mission geometry. Orbit and constellation design. Space environment. Payload and spacecraft design and sizing. Power sources and distribution. Thermal management. Structural design. Guidance and navigation. Space propulsion.

Orbital debris and survivability. Cost modeling and risk analysis. Prerequisites: upper-division standing or consent of instructor. Students will develop software and methods to simulate the motion characteristics of flight vehicles. Six degree-of-freedom equations of motion will be reviewed with emphasis on computer implementation.

  • What is Kobo Super Points?;
  • PDF Download Advanced Vibrations: A Modern Approach Download Full Ebook.
  • Mechanical Vibrations Research Papers -
  • Melody Baglione.

Algorithms for data modeling, numerical integration, equilibrium, and linearization will be introduced. Three-dimensional visualization techniques will be explored for representing operator and observer viewpoints. Applications include aircraft, automobiles, and marine vessels. Topics of special interest in mechanical and aerospace engineering. May be repeated for credit as topics vary.

Topics of special interest in mechanical and aerospace engineering with laboratory. Students work in local industry or hospitals under faculty supervision. Units may not be applied toward graduation requirements. Salaried or unsalaried. Number of units determined by enrollment frequency. First quarter up to four units. Subsequent quarters cannot exceed one unit. Prerequisites: consent of instructor and department stamp, 2. Directed group study on a topic or in a field not included in the regular department curriculum, by special arrangement with a faculty member.

Independent reading or research on a problem by special arrangement with a faculty member. This course covers topics in probability and stochastic processes, linear control and estimation including optimal linear control, nonlinear stabilization, and optimal control and estimation for nonlinear systems. Prerequisites: nongraduate students may enroll with consent of instructor. This course covers topics in kinematics, equations of motion, dimensional analysis, laminar and irrotational flow, vorticity dynamics, and boundary layers. This course covers topics in energy conservation, heat conduction, convection, radiation, heat transfer in ducts, external boundary layer, and heat exchangers.

This course covers topics in kinematics, conservation laws, constitutive equation of linear elastic solids, plasticity, and viscoelasticity. This course covers topics in robotics, dynamics, kinematics, mechatronics, control, locomotion, and manipulation. Each graduate student in MAE is expected to attend one seminar per quarter, of his or her choice, dealing with current topics in fluid mechanics, solid mechanics, applied plasma physics and fusion, chemical engineering, applied ocean sciences, energy and combustion, environmental engineering, or materials science, and dynamics and controls.

Topics will vary. This course covers topics in primary energy sources, availability and variability, fossil fuels, renewables and nuclear, energy dependent energy sources, heat engine, energy conservation, exergy, transportation, air pollution, and climate change. A course to be given at the discretion of the faculty in which topics of current interest in engineering will be presented. This course will reintroduce the mathematics fundamentals necessary for success in the engineering graduate program in MAE.

Cross-listed with BENG Introduction to the basic definitions of continuum mechanics and their mathematical formulation at the graduate level with applications to problems in medicine and biology. Basic conservation laws. Flow kinematics. The Navier-Stokes equations and some of its exact solutions. Nondimensional parameters and different flow regimes, vorticity dynamics. Potential flows, boundary layers, low-Reynolds number flows. Flow instabilities, linear stability theory; introduction to turbulent flows. Fundamental aspects of flows of reactive gases, with emphasis on processes of combustion, including the relevant thermodynamics, chemical kinetics, fluid mechanics, and transport processes.

Topics may include deflagrations, detonations, diffusion flames, ignition, extinction, and propellant combustion. Prerequisites: graduate standing. Equations of motion for compressible fluids; one-dimensional gas dynamics and wave motion, waves in supersonic flow, including oblique shock waves; flow in ducts, nozzles, and wind tunnels; methods of characteristics. Nongraduate students may enroll with consent of instructor.

Fluid mechanics, thermodynamics and combustion processes involved in propulsion of aircraft and rockets by air breathing engines, and solid and liquid propellant rocket engines characteristics and matching of engine components; diffusers, compressors, combustors, turbines, pumps, nozzles. Basic features of turbulent flows. Analytical description of turbulence: random variables, correlations, spectra, Reynolds-averaging, coherent structures. Length and time scales. Kolomogorov similarity theory.

Turbulence transport equations. Free shear flows. Homogeneous turbulence. Wall-bounded flows. Mixing of velocity and scalar fields. Cross-listed with SIO Mixing mechanisms, their identification, description and modeling. Introduction to turbulence, semi-empirical theories, importance of coherent structures, effects of stratification and rotation on turbulent structure, entrainment and mixing. Charged particle motion in electromagnetic field, atomic processes in plasmas, electric breakdown of the gases, plasma quasi-neutrality, sheath, probes.

Electron kinetics in low-temperature plasma, particle and energy fluxes, DC and RF driven discharges, instabilities of gas discharge plasmas. Coulomb collisions, collisionless approximation for hot plasma dynamics, Vlasov equation, waves in nonmagnetized plasma, dispersion equation, WKB approximation, Landau dumping, plasma instabilities, quasi-linear theory.

Drifts of magnetized charged particles, charged particle motion in different magnetic configurations, toroidal plasma equilibrium, Grad-Shafranov equation, neoclassical plasma transport in tokamak, waves in homogeneous magnetized plasma, waves in inhomogeneous magnetized plasma, instabilities of magnetized plasma. MAE A. Equation of state, Saha equilibrium. Shock rarefaction, and blast waves, self-similar motion.

Z-pinch, Bennett equilibrium, radiation collapse, and radiation sources. MAE B.

Recommended for you

Propagation and absorption of laser beam in plasma, ablation pressure. Laser scattering and laser-plasma instabilities stimulated Raman and Brillouin scattering, filamentation and decay instabilities. Electron heat transport, mechanisms of magnetic field generation. Thermodynamics of gases for use in gas dynamics.

Derivation of thermodynamic functions from statistical mechanics. Applications of classical and quantum statistical mechanics to chemical, thermal, and radiative properties of gases. Equilibrium and nonequilibrium radiation, chemical equilibrium, and elements of chemical kinetics. Laser and reacting-flow applications. Velocity distribution functions, the Boltzmann equation, moment equations and the Navier-Stokes equations.

The dynamics of molecular collisions. The Chapman-Enskog expansion and transport coefficients: shear and bulk viscosity, heat conduction, molecular and thermal diffusion. Linearizations about equilibrium: applications to acoustics and supersonic flows with relaxation. Prerequisites: MAE A and graduate standing. Conduction, convection, and radiation heat transfer.

Development of energy conservation equations. Analytical and numerical solutions to transport problems. Specific topics and applications vary. Fundamentals of diffusive and convective mass transfer and mass transfer with chemical reaction. Development of mass conservation equations. Analytical and numerical solutions to mass transport problems. Specific topics and applications will vary.

Basics of stratified flows.

  • Dialogues with the dead. The discussion of mortality among the Sora of Eastern India.
  • Advanced Vibrations |
  • Advanced Vibrations: A Modern Approach by Reza N. Jazar -!
  • Use of Reclaimed Water and Sludge in Food Crop Production.
  • Priory of Sion.
  • Browse more videos.

Linear waves: surface waves, internal gravity waves, dispersion, reflection, mountain waves. Ray tracing. Gravity currents and intrusions. Hydraulic control. Stability of and mixing in stratified shear flows. Recommended preparation: MAE A. Plumes and thermals. Application to building ventilation. Basics of rotating flows. Geostrophic flow. Thermal wind balance. Ekman boundary layer. Shallow water equations. Normal modes of a stratified fluid. Potential vorticity. Waves in a rotating fluid. Prerequisites: MAE A, graduate standing.

Energy conversion and coupled transport processes; electron and phonons, equilibrium and nonequilibrium energy transfer in nanostructures. Ballistic-diffusive treatment, thermal radiation issues in nanomaterials, near-field energy transfer, molecular dynamics, and experimental methods. Collisionless magnetic reconnection, interactions of relativistic laser field with plasma, plasma in astrophysics, computational plasma physics.

Specification of stress and strain; infinitesimal and finite deformation; conservation equations; typical constitutive equations; minimum potential energy principle. Basic field equations. Typical boundary value problems of classical linear elasticity. Problems of plane stress and plane strain. Variational principles. Cross-listed with SE Overview of inelastic behavior of materials.

Models of plasticity, viscoplasticity, viscoelasticity. Micromechanics and modeling of damage. Fatigue phenomena. Fracture mechanics. Processes and models of the failure of materials. Cross-listed with SE A. Finite element methods for linear problems in solid mechanics. Emphasis on the principle of virtual work, finite element stiffness matrices, various finite element formulations and their accuracy, and the numerical implementation required to solve problems in small strain, isotropic elasticity in solid mechanics.

Cross-listed with SE B. Finite element methods for linear problems in structural dynamics. Beam, plate, and doubly curved shell elements are derived. Strategies for eliminating shear locking problems are introduced. Formulation and numerical solution of the equations of motion for structural dynamics are introduced and the effect of different mass matrix formulations on the solution accuracy is explored.

Cross-listed with SE C. Finite element methods for problems with both material and geometrical large deformations nonlinearities. The total LaGrangian and the updated LaGrangian formulations are introduced. Basic solution methods for the nonlinear equations are developed and applied to problems in plasticity and hyperelasticity.

Theoretical strength; stress concentration. Linear and nonlinear fracture mechanics: stress singularity, fracture modes, crack tip plastic zone, dugdale model, the R-curve; power-law materials, the J-integral; fatigue; special topics. Practical application of the finite element method to problems in solid mechanics. Elements of theory are presented as needed. Covered are static and dynamic heat transfer and stress analysis. Basic processing, solution methods, and postprocessing are practiced with commercial finite element software.

Linear wave propagation; plane waves; reflection and refraction; dispersion induced by geometry and by material properties. Application of integral transform methods. Selected topics in nonlinear elastic, anelastic, and anisotropic wave propagation. Modeling, solving, and analyzing planning problems for single robots or agents. Configuration space for motion planning, sampling-based motion planning, combinatorial motion planning, feedback motion planning, differential models, and nonholonomic constraints.

Basic decision-theory and dynamic programming, sensor and information spaces. Tools for the design of cooperative control strategies for multi-agent systems are presented. Topics include continuous and discrete-time evolution models, proximity graphs, performance measures, invariance principles, and coordination algorithms for rendezvous, deployment, flocking, formation of autonomous vehicles and consensus. Key concepts in the atomic structure and bonding of solids such as metals, ceramics, and semiconductors. Ionic, covalent, metallic bonding compared with physical properties.

Atomic and molecular orbitals, bands vs. Cross-listed with MATS Radiative and convective heat transfer in the atmosphere. Surface energy balance and the urban heat island. Turbulence and dispersion in the atmospheric boundary layer. Solar and wind energy systems, resource assessment, and intermittency. Prerequisites: graduate standing or consent of instructor. Fundamentals and Applications of Computational Materials Science 4.

Computational methods for MatSci will be discussed, dealing with atomic scale empirical or semiempirical potentials. How and why to develop such potentials for metallic materials will be a focus of the course. Molecular dynamics and Monte Carlo methods will be covered in detail. Topics in the mechanics of blood flow including analytical solutions for flow in deformable vessels, one-dimensional equations, cardiovascular anatomy, lumped parameter models, vascular trees, scaling laws, and an introduction to the biomechanics and treatment of adult and congenital cardiovascular diseases.

Fluids phenomena relevant to the function, environment, and dynamics of biological cells. Topics include low-Reynolds number flows, cell motility, internal cellular flows, development and morphogenesis, hydrodynamics of suspensions and polymers, rheology, diffusion, hydrodynamics of deformable bodies vesicles, membranes, filaments , cells under shear flow. Prerequisites: MAE or A and graduate standing, or consent of instructor. Methods to measure mechanical aspects of cellular nature and behavior such as intracellular rheology, intracellular force distribution and propagation, cell adhesion strength, generation of propulsive forces during locomotion, interaction with the extracellular matrix, and response to external mechanical stimuli.

This course will introduce the advanced graduate student to the topics of mechanical and thermodynamic analyses of cellular membranes, lipid bilayers, and the study of synthetic vesicles. Prerequisites: MAE and graduate standing, or consent of instructor. The electronic and optical properties of metals, semiconductors, and insulators. The concept of the band structure. Electronic and lattice conductivity. Type I and Type II superconductivity.

Optical engineering using photonic band gap crystals in one-, two-, and three-dimensions. Current research frontiers. The basis of magnetism: Classical and quantum mechanical points of view. Different kinds of magnetic materials. Magnetic phenomena including anisotropy, magnetostriction, domains, and magnetization dynamics. Current frontiers of nanomagnetics research including thin films and particles. Optical, data storage, and biomedical engineering applications of soft and hard magnetic materials. Letter grades only. Prerequisites: graduate standing; consent of instructor.

This class will cover biomaterials and biomimetic materials. Metal, ceramic, and polymer biomaterials will be discussed. Synthesis and mechanical testing of biomimetic materials will also be discussed. This course discusses synthesis techniques, processing, microstructural control and unique physical properties of materials in nanodimensions.

Topics include nanowires, quantum dots, thin films, electrical transport, electron emission properties, optical behavior, mechanical behavior, and technical applications of nanomaterials. The thermodynamics and statistical mechanics of solids. Basic concepts, equilibrium properties of alloy systems, thermodynamic information from phase diagrams, surfaces and interfaces, crystalline defects. Classification of phase transformations; displacive and reconstructive transformations; classical and nonclassical theories of nucleation; Becker-Doering, Volmer-Weber, lattice instabilities, spinodal decomposition.

Growth theories; interface migration, stress effects, terrace-ledge mechanisms, epitaxial growth, kinetics and mechanics.

Stanford Libraries

Order-disorder transformations. Point, line, and planar defects in crystalline solids, including vacancies, self interstitials, solute atoms, dislocations, stacking faults, and grain boundaries; effects of imperfections on mechanical properties; interactions of dislocations with point defects; strain hardening by micro-obstacles, precipitation, and alloying elements. Elastic waves in continuum; longitudinal and shear waves. Surface waves. Plastic waves; shock waves, Rankine-Hugoniot relations. Method of characteristics, differential and difference form of conservation equations; dynamic plasticity and dynamic fracture.

Shock wave reflection and interaction. Main focus is the large deformations and instabilities in soft materials, such as elastomers, gels, and biomaterials. Some contents in thermodynamics and finite deformation theory are reviewed and summarized. Fundamental theories are applied to study the mechanics of gels, electroactive polymers, and biomaterials. This course intends to use soft material as an example to illustrate how to study the interaction between mechanics and other fields in materials e. Comprehensive introduction to system and event complexity, software and systems engineering practices for complexity management, agile and plan-driven development, development and management processes and process models, data-, information- and knowledge-management, basics of distributed data and computation.

This course will meet from a. Model-driven architecture and development concepts, business process and workflow modeling, structured analysis and IDEF modeling methods, object-, component- and service-orientation and the Unified Modeling Language, event- and stream models, colored Petri Nets, executable architectures, distributed simulation for performance analysis. Linear algebra: inner products, outer products, vector norms, matrix norms, least squares problems, Jordan forms, coordinate transformations, positive definite matrices, etc.

Properties of linear dynamic systems described by ODEs: observability, controllability, detectability, stabilizability, trackability, optimality. Control systems design: state estimation, pole assignment, linear quadratic control. Parameterization of all stabilizing output feedback controllers, covariance controllers, H-infinity controllers, and L-2 to L-infinity controllers.

Continuous and discrete-time treatment. Alternating projection algorithms for solving output feedback problems. Model reduction. All control design problems reduced to one critical theorem in linear algebra. Center manifold theorem. Stability of perturbed systems with vanishing and nonvanishing perturbations, input-to-state ability, comparison method. Input-output stability. Perturbation theory and averaging. Singular perturbations. Circle and Popov criteria.

Small gain theorem, passivity. Describing functions. Nonlinear controllability, feedback linearization, input-state and input-output linearization, zero dynamics. Integrator back stepping, forwarding. Inverse optimality, stability margins. Disturbance attenuation, deterministic and stochastic, nonlinear H-infinity. Nonlinear observers. Constructing dynamical models from experimental data.

Deterministic and stochastic discrete time signals. Discrete time systems. Nonparametric identification: correlation and spectral analysis. Parametric identification: realization and prediction error methods, least squares estimation, approximate modeling. Experiment design. Frequency domain identification. Recommended preparation: MAE C. Identification for control: approximate identification, estimation of models via closed-loop experiments.