摘要
对于在复杂分布随机动载荷激励下，结构的动响应计算问题，目前现有的计算方法效率低下，给工程计算带来诸多不便。本文提出一种新的快速算法，首先将分布随机动载荷互功率谱函数利用二维勒让德正交多项式在正交域内进行分解，用有限的参数信息表示无穷的分布信息，把分布随机动载荷的动响应计算转化为确定性分布动载荷的动响应计算，对每一个频率点通过向量乘法计算得到响应的功率谱。将该快速算法与常规算法进行仿真比较，得出该快速算法是求分布随机动载荷的精确算法，计算效率大大高于常规算法，而且很方便的计入分布随机动载荷部分相干的效应。最后将该种算法编制成计算软件，结合有限元软件用于分布随机动载荷的计算。
Abstract
Dynamic mechanical performance experiments were carried out for amphibolite specimens under cyclical impact loadings by using the SHPB. The changes of characteristics of stress-strain curve under certain, and the relationships among dynamic modulus, strain rates and confining pressures were discussed. It is demonstrated that the Young’s modulus of amphibolite decreases along with the increase of cyclies number of impact load, under certain confining pressure and impact loading. The normal stress on rupture surface will be enhanced with the increase of confining pressure, and white rock powder will come forth on the rupture surface under the action of cranny’ friction and slippage. When the rock specimen being shattered with the same accumulative absorption energy, the higher the confining pressure, the smaller the total area of rupture. Energy absorbency ratio increases with augment of the strain rate, and decreases with the augment of confining pressure. The exoressions were put forward for illustrating the relationships among energy absorbency ratio, strain rate and confining pressure.
关键词
分布随机动载荷 /
勒让德正交展开 /
快速算法 /
高效率 /
高精度
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Key words
Distributed random load /
Legendre polynomial expansion /
Fast algorithm /
High efficiency /
High precision
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姜金辉;陈国平;张方.
一维分布的随机动载荷激励下结构频域响应的快速算法[J]. 振动与冲击, 2010, 29(8): 55-59
Jiang Jinhui;Chen Guoping;Zhang Fang.
Fast Algorithm for Calculation of Structural Dynamic Response in Frequency Domain under One-dimension Distributed Random Load[J]. Journal of Vibration and Shock, 2010, 29(8): 55-59
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