Pr emultiplying by
[φ]T[M]
when real modes are mass normalized obtains:
{y}= φ {ψ} (3.1)3.7.6. Where to Find Other Modal Analysis Examples.
Several ANSYS, Inc. publications, particularly the Mechanical APDL Verification Manual, describe additional
modal analyses.
The Mechanical APDL Verification Manual consists of test case analyses demonstrating the analysis cap-
abilities of the ANSYS family of products. While these test cases demonstrat e solutions to realistic ana-
lysis problems, the Mechanical APDL Verification Manual does not present them as step-by-step examples
with lengthy data input instructions and printouts. However, most ANSYS users who have at least limited
finite element experience should be able to fill in the missing details by reviewing each test case's finite
element model and input data with accompanying comments.
The Mechanical APDL Verification Manual includes variety of modal analysis test cases:
VM45 - Natural Frequency of a Spring-mass System
VM47 - Torsional Frequency of a Suspended Disk
VM48 - Natural Frequency of a Motor-generator
VM50 - Fundamental Frequency of a Simply Supported Beam
VM52 - Automobile Suspension System Vibrations
VM53 - Vibration of a String Under Tension
VM54 - Vibration of a Rotating Cantilever Blade
VM55 - Vibration of a Stretched Circular Membrane
VM57 - Torsional Frequencies of a Drill Pipe
VM59 - Lateral Vibration of an Axially-loaded Bar
VM60 - Natural Frequency of a Cross-ply Laminated Spherical Shell
VM61 - Longitudinal Vibration of a Free-free Rod
VM62 - Vibration of a Wedge
VM66 - Vibration of a Flat Plate
VM67 - Radial Vibrations of a Circular Ring from an Axisymmetric Model
VM68 - PSD Response of a Two-degrees of freedom Spring-mass System
VM69 - Seismic Response
VM70 - Seismic Response of a Beam Structure
VM76 - Harmonic Response of a Guitar String
VM89 - Natural Frequencies of a Two-mass-spring System
VM151 - Nonaxisymmetric Vibration of a Circular Plate
VM152 - Nonaxisymmetric Vibration of a Stretched Circular Membrane (Harmonic Els)
VM153 - Nonaxisymmetric Vibration of a Stretched Circular Membrane (Modal)
VM154 - Vibration of a Fluid Coupling
VM175 - Natural Frequency of a Piezoelectric Transducer
VM181 - Natural Frequency of a Flat Circular Plate with a Clamped Edge
VM182 - Transient Response of a Spring-mass System
VM183 - Harmonic Response of a Spring-mass System
VM202 - Transverse Vibrations of a Shear Beam
VM203 - Dynamic Load Effect on Simply-supported Thick Square Plate
VM212 - Modal Analysis of a Rectangular CavityRelease 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential informationModal Analysis