Transcription of EQUIVALENT STATIC LOADS FOR RANDOM VIBRATION …
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1 EQUIVALENT STATIC LOADS FOR RANDOM VIBRATION Revision N By Tom Irvine Email: October 4, 2012 _____ The following approach in the main text is intended primarily for single-degree-of-freedom systems. Some consideration is also given for multi-degree-of-freedom systems. Introduction A particular engineering design problem is to determine the EQUIVALENT STATIC load for equipment subjected to base excitation RANDOM VIBRATION . The goal is to determine peak response values. The resulting peak values may be used in a quasi- STATIC analysis, or perhaps in a fatigue calculation. The response levels could be used to analyze the stress in brackets and mounting hardware, for example. Limitations Limitations of this approach are discussed in Appendices F through K. A particular concern for either a multi-degree-of-freedom system or a continuous system is that the STATIC deflection shape may not properly simulate the predominant dynamic mode shape.
Specifying the relative displacement for an SDOF system may seem redundant because the relative displacement can be calculated from the response acceleration and the natural frequency per equation (7) given later in this paper. But specifying the relative displacement for an SDOF system is a good habit.
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