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- unbalance, base excitation and isolation, whirling of shaft/rotor systems, transducers, viscous and
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Help for complex topics like:
- Shock spectrum, response to periodic excitation through use of Fourier series, computer ,calculation of system response ,time integration , Free vibration of 2-DOF systems (natural frequencies, natural modes,
- Beating phenomenon, dynamic and static coupling, Lagrange's method, generalized forces, relative and absolute coordinates),Forced harmonic excitation of 2-DOF systems (impedance matrix, dynamic vibration absorber)
- Multi-DOF systems (symmetry of mass and stiffness matrices, free vibration - eigenvalues and eigenvectors, modal matrix, orthoganality of eigenvectors, decoupling the equations of motion, modal, proportional/Rayleigh damping models, approximate methods, degenerate and rigid body modes)
- Forced excitation of Multi-DOF systems (modal analysis, harmonic excitation, computer solutions for free and forced response), Approximate analysis of continuous systems (kinetic and potential energy functions for continuous systems, assumed modes method, free and forced response)
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Topics like Simple continuous systems (normal modes and waves on strings, vibration of rods, and beams) & the assignment help on these topics is really helpful if you are struggling with the complex problems.
- Vibration theory
- single degree of freedom linear systems
- multi degree of freedom linear systems
- Approximate methods
- Application to simple aeroelastic problems
- Analytical Mechanics - Variational Methods, definitions, Virtual work, D'Alembert's principle, Hamilton's principle, Euler-Lagrange equations, Boundary condition formulation, Vibration of Membranes and Plates, Equations of motion, Normal mode solutions, Approximate methods, Analysis Techniques for Continuous Systems, Integral transform methods, Modeling of damping, Systems with combined effects
- Timoshenko beam theory, Vibration of Cylindrical Shells, Membrane effects, bending stiffness, Shell theories, Dispersion characteristics, Introduction to SEA, Differential equation of motion, harmonic oscillator, Viscous damping, Energetics of Vibrating Systems, SDOF systems, MDOF systems, Infinite systems, Coupled Systems, Energy sharing and energy exchange, Reciprocity, Use of SEA in Engineering Analysis, Model development, Mode count estimation, Damping loss factors, Coupling loss factors, Input power, Energy distribution
- System response estimation, free vibration Single-degree-of-freedom system, natural frequency and damping ratio;, free vibration response of single-degree-of-freedom system, estimation of damping, Harmonic Response
- deformation response factor; resonance, half power method for estimation of damping, accelerometer and displacement meter, Time-domain Analysis Duhamel’s integral;, impulse response function;, Laplace transform;response spectrum, Numerical MethodsInterpretation of loadings, finite difference; Newmark beta method;state space method, Frequency-domain Analysis, Fourier transform
- Relationship between impulse response function and frequency response function, Multi-degree-of-freedom Systems Formulation; review of stiffness method;, consistent mass matrixand lumped mass matrix; classical damping matrix;, Rayleigh quotient, Modal Analysis ,Modal coordinate, natural frequencies and mode shapes, free response ,general response, Kalman filter State space; Kalman filter.
- multiple degree of freedom systems, Free vibration and modes of vibration, Forced vibration, modal decomposition, Experimental modal analysis, Modal analysis at high frequencies, Difficulties at high frequencies, high frequency approximations, Mean square response, kinetic energy
- Frequency average input power and mobility of infinite system, Elastic wave motion in rods and beams, Longitudinal, torsional, flexural wave equations, Wave solution, dispersion diagrams, Energy flow in propagating waves,
- group velocity, damping, Forcing, reflection and transmission in beams, Receptance of infinite or semi-infinite beam excited by force or moment, input power, Reflection of wave at different types of boundary, Interaction of wave in beam with a discontinuity, Prediction of natural frequencies by a wave approach
- Use of phase closure principle for modes in a finite beam, Comparison with exact analysis, Mode count and modal density of 1D systems, Waves in plates, Bending and in-plane waves, Boundary conditions,
- Reflection at an edge, phase closure, modal density, Transmission at simple support, Statistical energy analysis, power and energy, power balance, coupling power proportionality, SEA equations
- weak and strong coupling, Energy equations of a simple oscillator, coupled oscillators and multi-modal systems, Wave transmission and coupling loss factors, structural-acoustic coupling, SEA modelling,
- Problems and pitfalls with SEA, Experimental SEA, Difficulties of applying conventional numerical methods at high frequency, Alternatives available for high frequencies