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基于离散弹簧模型的裂纹梁随机振动分析

Chao Fu, DU Chaoyang, Y. C. Chuang,Gao Binglan

Journal of Xinyang Normal University(Natural Science Edition)（2021）

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Abstract
将裂纹等效为无质量扭转弹簧,利用广义函数描述裂纹梁的等效抗弯刚度,建立了具有任意开裂纹数目梁挠度振型和弯矩振幅的显式解析通解,并讨论了随机激励下裂纹梁挠度和弯矩功率谱密度及相应方差的计算方法.数值结果表明:本文建立的计算方法与Monte-Carlo模拟结果吻合较好.同时,裂纹深度越大,裂纹梁的挠度和弯矩功率谱密度的峰值越大,其峰值对应频率越小,而裂纹梁的跨中挠度和弯矩的方差也越大.
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cracked beam,vibrations
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