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置入Winkler弹性地基内梁的精化理论

A refined theory of beam posting inside Winkler foundation
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摘要 将Cheng精化理论推广到置入Winkler弹性地基内梁的研究当中,对Winkler弹性地基内的梁进行了精确的分析,给出其精化理论。将梁内的位移利用中线上位移及其沿梁厚方向的梯度表示出来,并获得梁内应力张量。再利用Winkler弹性地基条件和Lur’e算子方法,获得弹性地基内梁的控制方程,该控制方程比其他理论更精确。 Cheng＇s refined theory was extended to investigate the beam posting inside the Winkler Foundation, and an exact analysis for the beam posting inside Winkler Foundation was given. Expressions are obtained for all the displacements and stress components in term of the midline displacement and its derivatives. Using Lur＇ e method, the refined theory of the beam posting inside Winkler Foundation is given from the Winkler Foundation＇s boundary conditions. In case the term that the higher-order is omitted, the equation in terms of deflection of the refined theory is changed into the classic control equation of beam on the elastic foundation.
作者 佟继龙 赵宝生
机构地区 辽宁科技大学机械工程与自动化学院
出处 《辽宁科技大学学报》 CAS 2008年第3期273-276,共4页 Journal of University of Science and Technology Liaoning
基金 自然科学基金(10602001) 辽宁省教育厅科学研究项目(2004F051)
关键词 精化理论 Winkler弹性地基 梁 Papkovich-Neuber通解 refined theory Winkler＇ s foundation beam Papkovich-Neuber general solution
分类号 O343 [理学—固体力学]
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参考文献12

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二级参考文献29

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辽宁科技大学学报
2008年 第3期

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