The tutorial will begin with a brief review of single and multiple degree-of-freedom (lumped masses) equations of motion and transient response to special and arbitrary excitation forms. The macroscopic behavior of these excited systems at high frequency will then be discussed. An introduction to the alternative viewpoint provided by wave mechanics and statistical energy methods will follow. By merging principles from the lumped mass, wave and energy descriptions of high frequency vibration, the instructor will introduce the concept of virtual mode synthesis and simulation. This emerging technique facilitates quick solutions of transient responses and simple models that are easy to prepare. The technique is ideal for predicting responses from highly impulsive excitation such as high speed impact and pyrotechnic devices.
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