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1 AxisymmetryLargeDeformationofCircularMembraneTheproblemofaxisymmetrylargedeformationofcircularmembraneisonewithpracticalsignificance.Hencky (1 91 5) [1]gaveasolutionofpowerseriesundertheuniformforce ;Alekseev (1 951 ) [2 ]gaveananalyticsolutionofcircularmembraneundertheconcentratedforce ,whichisexactonlywhenν=1 3 .ChienWei_zangetal.(1 981 ) [3]gaveananalyticsolutionofthesymmetricalcircularmembraneundertheactionofuniformlydistributedloadsinitscentralportion .Asfortheresultsorotherauthor… 相似文献
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圆薄膜在集中力作用下的大变形 总被引:8,自引:2,他引:6
利用圆薄膜在中心集中力作用下大变形的基本方程、边界条件和Hercky变换,求解了非线性边值问题,推广了Hencky变换,得到了集中力作用下圆薄膜大变形问题的精确解. 相似文献
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Based on the tranditional V-notched blasting, a technique of spirally V-notched blasting to loosen earth and rock was presented. Fracture mechanics and Westergaard stress function were adopted to build a complex stress function to derive the plane stress and strain fields at one tip of the crack under a quasi-static pressure. An expression was formulated to define the stress intensity factor of spiral V-notch loosen blasting. Factors that have effects on the stress intensity factor were studied. It is demonstrated that spiral V-notch loosen blasting is an extension of vertical V-notch blasting, straight cracking, and alike theories. 相似文献
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以鞍形膜结构为研究对象,研究了冲击载荷作用下鞍形膜结构的振动问题。首先推导了冲击载荷作用下的结构振动非线性微分方程,该方程中考虑了膜材的正交异性,空气阻尼以及膜材变形的几何非线性。然后假设一小球以某确定的冲击速度差冲击膜面,模拟冲击荷载。最后利用随机摄动法求解方程,得到鞍形膜结构振动响应的位移函数,通过该函数分别对膜面预张力、拱跨比以及小球速度差进行参数分析。同时,对鞍形膜结构的振动进行数值模拟,并与解析理论作对比分析。结果表明鞍形膜结构振动位移会随着膜面预张力或拱跨比的增大而减小,同时也会随着速度差的增大而增大。由此可知该理论模型研究鞍形膜结构在冲击载荷作用下的振动特性是可行的,得到的结果能够准确地预测膜结构响应规律。 相似文献
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