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含裂纹损伤船体板板条梁的非线性动力响应
引用本文:朱荣成,唐文勇,张圣坤.含裂纹损伤船体板板条梁的非线性动力响应[J].舰船科学技术,2006,28(6):37-41.
作者姓名:朱荣成  唐文勇  张圣坤
作者单位:上海交通大学,船舶海洋与建筑工程学院,上海,200030
基金项目:国家自然科学基金;上海市高校优秀青年教师后备人选基金
摘    要:研究含裂纹损伤船体板板条梁两端固支,受横向阶跃均布载荷作用下的非线性动力响应问题。考虑横向剪切变形和几何非线性,根据Hamilton原理导出板条梁的非线性动力方程,并应用线弹簧理论将裂纹引入到动力方程中,用有限差分法对方程进行求解。文中讨论了裂纹的存在与否,载荷作用形式,裂纹长度和裂纹位置等因素对船体板板条梁的非线性动力响应的影响。

关 键 词:横向阶跃载荷  裂纹  板条梁  有限差分  非线性动力响应
文章编号:1672-7649(2006)06-0037-05
收稿时间:2005-12-15
修稿时间:2005-12-15

Nonlinear dynamic response of cracked strips
ZHU Rong-cheng,TANG Wen-yong,ZHANG Sheng-kun.Nonlinear dynamic response of cracked strips[J].Ship Science and Technology,2006,28(6):37-41.
Authors:ZHU Rong-cheng  TANG Wen-yong  ZHANG Sheng-kun
Institution:School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China
Abstract:The nonlinear dynamic response of a cracked strip subject to transverse step load was analyzed in this paper. The influences of the transverse shear deformations and geometrical nonlinear were considered. The nonlinear dynamic equations of the cracked strip were derived from Hamilton's philosophy and the effect of crack was taken into account in dynamic control equations by using line-spring model of fracture mechanics. The equations were solved numerically by finite difference method. The effects of crack, load form, crack scale and the location of crack on the dynamic response of the cracked strips were discussed.
Keywords:transverse step load  crack  strip  finite difference  nonlinear dynamic response
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