Inverse Problems in Vibration for Difference Discrete Systemsof a Horizontal Bar Structure

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2016, Vol. 33 ›› Issue (4): 410-418.

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Inverse Problems in Vibration for Difference Discrete Systemsof a Horizontal Bar Structure

HE Min, ZHANG Lihua, WANG Qishen

School of Physics & Electrical Engineering, Anqing Normal University, Anqing 246133, China

Received:2015-06-19 Revised:2015-11-27 Online:2016-07-25 Published:2016-07-25

Abstract

Abstract: Inverse mode problem of a horizontal bar structure, a single branch structure of a rod-beam-rod system, is investigated. Sign-oscillatory properties of inherent vibration stiffness matrix of discrete horizontal bar structure are shown mathematically. In addition, qualitative properties of frequencies and modes are introduced. Physical parameters of horizontal bar structure are constructed from two sets of displacement or strain modes and corresponding circular frequencies. Several numerical examples are given. A particular inverse mode problem is discussed, where structure parameters of horizontal bar are symmetrical for geometrical symmetry axis. It shows that formulation of inverse problems is reasonable and solution method is validated.

Key words: inverse mode problem, horizontal bar structure, qualitative property, symmetric structure

CLC Number:

HE Min, ZHANG Lihua, WANG Qishen. Inverse Problems in Vibration for Difference Discrete Systemsof a Horizontal Bar Structure[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(4): 410-418.

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Inverse Problems in Vibration for Difference Discrete Systemsof a Horizontal Bar Structure

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