Vibration Analysis with SolidWorks Simulation

Vibration Analysis with SolidWorks Simulation
Paul M. Kurowski, Ph.D., P.Eng.
Table of contents
Before you start 1
Notes on hands-on exercises and functionality of Simulation
Prerequisites
Selected terminology
1: Introduction to vibration analysis
Differences between a mechanism and a structure
Difference between dynamic analysis and vibration analysis
Rigid body motion and degrees of freedom
Kinematic pairs
Discrete and distributed vibration systems
Single degree of freedom and multi degree of freedom vibration systems
Mode of vibration
Rigid Body Mode
Modal superposition method
Direct integration method
Vibration Analysis with SolidWorks Simulation and SolidWorks Motion
Functionality of SolidWorks Simulation and SolidWorks Motion
Terminology issues
Summary
2: Introduction to modal analysis
Modal analysis
Properties of a mode of vibration
Interpreting results of modal analysis
Normalizing displacement results in modal analysis
3: Modal analysis of distributed systems
Modal analysis of distributed systems
Meshing considerations in modal analysis
Importance of mesh quality in modal analysis
Importance of modeling supports
Interpretation of results of modal analysis
uVibration Analysis with SolidWorks Simulation
4: Modal analysis – the effect of pre-stress
Modal analysis with pre-stress
Modal analysis and buckling analysis
Artificial stiffness
5: Modal analysis – properties of lower and higher modes
Modal analysis using shell elements
Properties of lower and higher modes
Convergence of frequencies with mesh refinement
6: Modal analysis – mass participations, properties of modes
Modal mass
Modes of vibration of axisymmetric structures
Modeling bearing restraints
Using modal analysis to find “weak spots”
7: Modal analysis – mode separation
Modal analysis with shell elements
Modes of vibration of symmetric structures
Symmetry boundary conditions in modal analysis
Anti-symmetry boundary condition in modal analysis
8: Modal analysis – axi-symmetric structures
Modes of vibration of axi-symmetric structures
Repetitive modes
Solid and shell element modeling
9: Modal analysis – locating structurally weak spots
Modal analysis with beam elements
Modes of vibration of symmetric structures
Using results of modal analysis to identify potential design problems
10: Modal analysis – a diagnostic tool
Modal analysis used to detect problems with restraints
Modal analysis used to detect connectivity problems
Rigid Body Motions of assemblies
11: Harmonic excitation of discrete systems
Steady state harmonic excitation
Frequency sweep
Displacement base excitation
inVibration Analysis with SolidWorks Simulation
Velocity base excitation
Acceleration base excitation
Resonance
Modal damping
12: Harmonic base excitation of distributed systems
Steady state harmonic excitation
Frequency sweep
Displacement base excitation
Velocity base excitation
Acceleration base excitation
Resonance
Modal damping
13: Omega square harmonic force excitation
Unbalanced rotating machinery
Resonance
Modal damping
Omega square excitation
Steady state response
14: Time response analysis, resonance, beating
Time Response analysis
Base excitation
Resonance
Modal damping
Beating phenomenon
Transient response
Steady state response
Mass participation
15: Vibration absorption
Torsional vibration
Resonance
Modal damping
Vibration absorption
Frequency Response
16: Random Vibration
Random vibration
Power Spectral Density
IVVibration Analysis with SolidWorks Simulation
RMS results
PSD results
Modal excitation
17: Response Spectrum analysis
Non stationary random base excitation
Seismic response analysis
Seismic records
Response spectrum method
Generating response spectra
Methods of modal combinations
18: Nonlinear vibration
Differences between linear and nonlinear structural analysis
Types of nonlinearities
Bending stiffness
Membrane stiffness
Modal damping
Rayleigh damping
Linear Time response analysis
Nonlinear Time response analysis
Modal Superposition Method
Direct Integration Method
19: Vibration benchmarks 251
20: Glossary of terms 287
21: References 291
22: List of exercises
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