Sensitivity Calculation of Beam-Mass Structure Using Higher-Order Beam Element

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (15) : 111-115.

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Sensitivity Calculation of Beam-Mass Structure Using Higher-Order Beam Element

WANG Dong1，MA Jian-jung1

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Abstract

The calculation of dynamic behaviors of a beam structure with a lumped mass of both translational and rotary inertias is studied using two types of higher–order beam elements. By adding respectively independent variables of the curvature and its first-order derivative at a node, the frequency and its sensitivity with respect to the position of the lumped mass attachment can be calculated accurately using the higher-order beam elements. Further, numerical results show that use of the generic beam element of the cubic polynomial displacement can also achieve the frequency sensitivity satisfactorily with a dense finite element mesh.

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higher-order beam element / lumped mass position / frequency sensitivity / rotary inertia / beam-mass system

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WANG Dong;MA Jian-jung. Sensitivity Calculation of Beam-Mass Structure Using Higher-Order Beam Element[J]. Journal of Vibration and Shock, 2013, 32(15): 111-115