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定常温度热弹性梁的精化理论 被引量：13

A REFINED THEORY OF THERMOELASTIC BEAMS UNDER STEADY TEMPERATURE
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摘要 首先给出了定常温度热弹性Biot通解的一种新的简化形式,它看起来与各向同性弹性力学的Papkovich-Neuber通解十分相似。不作预先假设,从热弹性理论出发,利用Biot通解和Lur’e算子方法构造了梁的精化理论,得出了自由表面热弹性梁的三个精确方程:四阶方程、超越方程和温度方程。由一般的各向同性弹性梁推广到热弹性梁,导出了在反对称载荷和介质温度作用下热弹性梁的近似控制微分方程。 A new simplified form of Biot＇s thermoelasticity it looks like Papkovich-Neuber＇s isotropic elasticity solution. solution is presented under steady temperature, and Based on thermoelasticity theory, the refined beam theory is derived using Biot＇s solution and Lur＇e method without ad hoc assumptions. For homogeneous boundary conditiofis, the thermoelastic beam equations consist of three exact equations： the four-order equation, the transcendental equation and the temperature equation. Generalized from isotropic elastic beam problems, thermoelastic beam problems are focused. Approximate beam equations under anti-symmetrical transverse loadings and temperature distribution are derived.
作者 高阳 王敏中
机构地区 中国农业大学理学院 北京大学湍流与复杂系统国家重点实验室力学与工程科学系
出处 《工程力学》 EI CSCD 北大核心 2006年第2期34-40,共7页 Engineering Mechanics
基金 国家自然科学基金资助项目(1017200310372003)
关键词 热弹性 控制方程 精化理论 矩形直梁 弹性通解 thermoelasticity governing equation refined theory rectangular beam elastic general solution
分类号 O343.6 [理学—固体力学]
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参考文献15

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二级参考文献12

  • 1青春炳,王敏中.热弹性通解完备性的一个新证明[J].应用力学学报,1989,6(4):80-82. 被引量：7
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共引文献24

同被引文献57

引证文献13

二级引证文献20

工程力学
2006年 第2期

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