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机构地区:[1]西安建筑科技大学理学院,陕西西安710055
出 处:《纺织高校基础科学学报》2005年第1期64-67,共4页Basic Sciences Journal of Textile Universities
基 金:国家自然科学基金资助项目(59678003)
摘 要:用半解析单元法分析了轴对称横观各向同性层合圆厚板与无限层土地基的三维动力相互作用,提出了一种新的半解析位移函数.采用在水平两方向解析,在竖向进行离散化的方法,使三维动力相互作用的问题简化为一维数值计算问题,减少了计算工作量.数值计算表明,考虑相互作用后,层合圆厚板自振周期大于不考虑相互作用时的自振周期;在结构和地基相互作用分析中,地基的计算厚度可取为地基深度H与基础的半径R之比H/R>10,地基的计算面积可取为地基面积与基础面积之比S1/S2>30.Three dimensional interaction problem between laminated transversely isotropic circular plate and infinite layer foundation is analyzed by the semianalytic element method.Two analytic function sets are used in the horizontal directions and the method of discreteness is used in the vertical direction. Thus the three dimensional interaction problem can be simplified to one dimensional numerical problem. The result form this study are as follows: Period of laminated circular plate on infinite layer foundation is larger than that of laminated circular plate on rigit foundation.Calculated thickness of elastic foundation is ten times as much as radius of laminated circular plate and calculated area of infinite layer foundation is thirty times as much as area of laminated circular plate.
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