用高阶梁单元计算结构附带集中质量的灵敏度

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (15) : 111-115.

论文

用高阶梁单元计算结构附带集中质量的灵敏度

王栋1，马建军1

作者信息 +

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

WANG Dong1，MA Jian-jung1

Author information +

文章历史 +

摘要

采用高阶有限梁单元，研究梁或刚架结构附带集中质量的固有频率及其灵敏度计算问题。通过在节点上增加曲率和曲率的一阶导数两个独立的自由度，可以直接获得频率灵敏度计算所需的基本量。计算结果表明：用高阶梁单元，可以较精确地获得固有频率及其对集中质量位置的灵敏度值。此外，经过比较发现，在单元网格划分比较密集的情形下，采用通常的2节点4自由度梁单元，也能获得比较满意的频率灵敏度计算结果。

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.

导出引用

王栋;马建军. 用高阶梁单元计算结构附带集中质量的灵敏度[J]. 振动与冲击, 2013, 32(15): 111-115

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