Structural Motion Control in MSC.NASTRAN

Structural Motion Control in MSC.NASTRAN - Printable Version

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Structural Motion Control in MSC.NASTRAN - david-smith - 11-21-2012

TABLE OF CONTENTS
ACKNOWLEDGEMENTS ......................................................................................................................................3
LIST OF SYMBOLS AND NOTATIONS ...............................................................................................................4
1.1 GL, ML PASSIVE STRUCTURAL MOTION CONTROL.......................................................................................7
1.1.1 Optimum Stiffness and Mass Distribution.....................................................................................................................................7
1.1.1.1 Concepts of Forced Frequency Response of Deterministic Periodic Harmonic Load Excitations.................................................................................. 7
1.1.1.2 Concepts of Forced Transient Response of Deterministic Load Excitations ..................................................................................................................10
1.1.1.3 Concepts of Forced Frequency Response of Deterministic Periodic Harmonic Base Excitations ................................................................................14
1.1.1.4 Concepts of Forced Transient Response of Deterministic Base Excitations...................................................................................................................15
1.1.1.5 Concepts of Forced Transient Response (Response Spectrum Analysis) of Random Non-Stationary Base Excitations ............................................16
1.1.2 Optimum Damping Distribution ..................................................................................................................................................17
1.1.2.1 Elemental Damping Mathematical Models ......................................................................................................................................................................17
1.1.2.2 Modal Damping Mathematical Models ............................................................................................................................................................................26
1.1.2.3 Global Damping Mathematical Models............................................................................................................................................................................29
1.1.2.4 Damping Formulation Conclusions ..................................................................................................................................................................................31
1.1.3 GL, ML Base Isolation Systems....................................................................................................................................................32
1.1.3.1 Controlling Displacement Response From Harmonic Load Excitations........................................................................................................................32
1.1.3.2 Controlling Acceleration Response From Harmonic Load Excitations ..........................................................................................................................32
1.1.3.3 Base Isolation - Controlling Displacement Response From Harmonic Base Enforced Motion ....................................................................................33
1.1.3.4 Base Isolation - Controlling Acceleration Response From Harmonic Base Enforced Motion......................................................................................34
1.1.3.5 Base Isolation – Controlling Force Transmitted Into Foundation From Harmonic Load Excitations ..........................................................................36
1.1.4 GL, ML Tuned Mass Damper (TMD) Systems ............................................................................................................................37
1.1.4.1 Damped SDOF System Subject to Harmonic Force and Support Motion Excitations...................................................................................................40
1.1.4.2 Undamped Structure, Undamped TMD System Subject to Harmonic Force Excitation ...............................................................................................41
1.1.4.3 Undamped Structure, Damped TMD System Subject to Harmonic Force Excitation....................................................................................................43
1.1.4.4 Undamped Structure, Damped TMD System Subject to Harmonic Support Motion.....................................................................................................49
1.1.4.5 Damped Structure, Damped TMD System Subject to Harmonic Force and Support Motion .......................................................................................51
1.1.4.6 TMD Analysis Summary (Warburton, 1982)...................................................................................................................................................................53
1.2 GL, ML ACTIVE STRUCTURAL MOTION CONTROL – CONTROL SYSTEM ANALYSIS.................................55
BIBLIOGRAPHY....................................................................................................................................................56

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