Mode Inverse Problem of Difference Discrete Models for a Beam with Overhangs

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (3): 407-412.

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Mode Inverse Problem of Difference Discrete Models for a Beam with Overhangs

WU Lei, LIU Quanjin, ZHANG Lihua, WANG Qishen

School of Physics and Electric Engineering, Anqing Teachers College, Anqing 246011, China

Received:2009-03-16 Revised:2009-08-31 Online:2010-05-25 Published:2010-05-25

Abstract

Abstract: Mode inverse problem for a beam with overhangs is discussed.Flexural rigidity and density of beam with overhangs are solved with two groups of displacement modes or two groups of strain modes and corresponding frequency.Necessary and sufficient conditions for unique existence of solution of the problem are discussed.An algorithm is proposed and numerical calculations are carried out.Two examples show that better results can be attained if strain modes instead of displacement mode are employed.

Key words: beam with overhang, vibration, mode inverse problem, numerical calculation

CLC Number:

WU Lei, LIU Quanjin, ZHANG Lihua, WANG Qishen. Mode Inverse Problem of Difference Discrete Models for a Beam with Overhangs[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(3): 407-412.

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Mode Inverse Problem of Difference Discrete Models for a Beam with Overhangs

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