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冲击扭矩作用下弹性圆柱壳中应力波导致的动力屈曲问题   总被引:4,自引:1,他引:3  
圆柱壳的屈曲问题曾被许多力学工作者从不同的角度进行过研究.本文以半无限长弹性圆柱壳为研究对象,将冲击扭矩作用下圆柱壳的动力屈曲归结为由于扭转应力波的传播导致的分叉问题,最后将此分叉问题化为一个非线性方程组的求解,并对动力屈曲时横向惯性的影响进行了讨论,最后进行了数值分析,得到了一些有益的结论.  相似文献
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A Riesz space K1 whose elements are pairs of convex-set collections is presented for the study on the calculus of generalized quasi-differentiable functions. The space K1 is constructed by introducing a well-defined equivalence relation among pairs of collections of convex sets. Some important properties on the norm and operations in K1 are given.  相似文献
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In this paper we consider the Cauchy problem of two-dimensional generalized Boussinesq-type equation utt−Δu−Δutt2u+Δf(u)=0uttΔuΔutt+Δ2u+Δf(u)=0. Under the assumption that f(u)f(u) is a function with exponential growth at infinity and under some assumptions on the initial data, we prove the existence and nonexistence of global weak solution. There are very few works on Boussinesq equation with nonlinear exponential growth term by potential well theory.  相似文献
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本文首次通过借助Kakutani-Fan-Glicksberg固定点定理和非线性标量化,研究了向量值映射的Benson锥鞍点定理.然后,通过使用该Kakutani-Fan-Glicksberg固定点定理,同样得到了集值映射的锥松鞍点定理.  相似文献
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A V-cycle multigrid method is developed for a time-dependent viscoelastic fluid flow satisfying an Oldroyd-B-type constitutive equation in two-dimensional domains. Also existence, uniqueness, and error estimates of an approximate solution are discussed. The approximate stress, velocity, and pressure are, respectively, σ k -discontinuous, u k -continuous, and p k -continuous.  相似文献
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This paper deals with the following doubly nonlinear parabolic equations(u + |u|~(r(x)-2)u)t-div(|?u|~(m(x)-2)?u) = |u|~(p(x)-2)u, where the exponents of nonlinearity r(x), m(x) and p(x) are given functions. Under some appropriate assumptions on the exponents of nonlinearity, and with certain initial data, a blow-up result is established with positive initial energy.  相似文献
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The purpose of this article is to prove the energy decay of the mixed problem for a nonlinear viscoelastic rod equation with dynamic boundary conditions. Copyright © 2006 John Wiley & Sons, Ltd.  相似文献
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本文给出一种广义拟可微函数类,它是Demyanov与Rlubinov(1980)意义下拟可微函数的推广,通过凸集类对的空间的某些理论,建立了这类广义拟可微函数的微分学理论,包括加法运算、数乘运算、乘法运算、除法运算、极大值运算,极小值运算以及复合运算的微分公式和中值定理。这些结果为广义拟可微类函数优化研究提供了基本工具.  相似文献
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In this paper, we consider the initial boundary value problem for generalized logarithmic improved Boussinesq equation. By using the Galerkin method, logarithmic Sobolev inequality, logarithmic Gronwall inequality, and compactness theorem, we show the existence of global weak solution to the problem. By potential well theory, we show the norm of the solution will grow up as an exponential function as time goes to infinity under some suitable conditions. Furthermore, for the generalized logarithmic improved Boussinesq equation with damped term, we obtain the decay estimate of the energy. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献
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