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弹性地基上的自由矩形板 总被引:9,自引:0,他引:9
在弹性地基上的自由矩形板的弯曲,在弹性薄板理论中也是个难题.本文以叠加法提供一个精确解.它满足微分方程,自由边界的条件以及自由角点条件.这样将导致一系列无穷联立方程.所解的问题为在板的中点作用一集中力这问题.我们并以地基反力应与这集中力相平衡.校核所作的计算是否正确. 相似文献
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张福范 《应用数学和力学(英文版)》1983,(3)
The distribution of shearing and normal stresses on the con-tact surface of the two strips composing a thermostat is foundin closed form.They are of local type and concentrated nearthe ends of the strip along a length almost equal to the thick-ness of the strip. 相似文献
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张福范 《应用数学和力学(英文版)》1982,(4)
Kirchhoff’s thin plate theory is used to solve the restrictedtorsion of narrow rectangular cross section as this problem isequivalent to the bending of a rectangular cantilever plate by atwisting moment at the free end.The results obtained not onlyprove the angle of twist obtained by Prof.Timoshenko using theenergy method but give us stresses. 相似文献
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张福范 《应用数学和力学(英文版)》1986,7(10):937-945
This paper is to solve the interlaminar stresses of adhesive lap joint by the energy method without considering the adhesive layer. The joint is made of two identical narrow plates. Two cases are discussed: one is for the isotropic material and the other is for orthotropic material. Because of the different materials forming the joint, the length of distribution and the magnitude of the interlaminar, stresses for the two cases will be very different.Projects supported by the Science Fund of Chines Academy of Sciences (1986–1988). 相似文献
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一矩形横截面的叠层复合材料杆,由以一种材料为中心部分,及另一种材料的上下两相同的盖板所组成.以线性弯曲应力所组成的力偶,作用于杆两端的中心部分(图1a),使杆弯曲.本文将探讨层间应力,以表明力是怎样通过胶合面传递给盖板的. 相似文献
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一矩形横截面的叠层复合材料杆,由以一种材料为中心部分,及另一种材料的上下两相同的盖板所组成.各等于P的压力和张力,均匀分布在上下盖板的两端.它们形成两力偶使杆弯曲.本文将探讨层间应力,以表明力是怎样通过胶合面而传递的. 相似文献
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This load supporting prefabricated wall consists of a thin plate reinforced along its boundaries by a frame. With the loads acting on the frame, the plate has its boundary conditions defined neither by forces nor by displacements. On the basis of satisfying the biharmonic equation of the stress function for the plate, we make the total strain energy to be minimum to ensure the compatibility of displacements for the two elastic bodies. Thus we get a set of infinite simultaneous equations. The results obtained indicate the method of solution is effective. 相似文献
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本文以整式得到了组成整温器的两金属条的接触面内的热应力,包括剪应力和正应力.应力集中分布在金属条的端部,其分布的长度约为金属条的厚度. 相似文献