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31.
王子昆 《应用数学和力学(英文版)》1988,9(4):391-400
This paper proves Love’s stress function of space axisymmetric problem can be represented by choosing two generalized analytic functions of complex variates reasonably[1], and deduces the expressions of the components of stress displacements and boundary conditions in complex function. To present the feasibility of the method here and examining the truth of the formulae founded in this paper, the problem of circular shaft with globular cavity pressed on the side and pulled at the ends is solved by using power series and the result is the same as that solved by other methods. In the end, the problem of a cone sheared by uniform shear stress on the sideface is solved, and the solution of a cone acted on by gravity is given by converting constant body forces into surface forces. 相似文献
32.
复合材料薄壁旋转梁的研究进展 总被引:5,自引:0,他引:5
本文综述了近年来复合材料薄壁旋转梁的研究进展,着重介绍了围绕梁平面外翘曲问题,各国学者在非线性梁理论、用解析法和有限元法构造复合材料薄壁梁模型方面做的工作,讨论了此领域需进一步研究的问题. 相似文献
33.
34.
S. V. Shlychkov 《Mechanics of Composite Materials》2007,43(3):269-276
The paper presents results of numerical and experimental investigations into the vibrations of thin-walled structures, considering
such their features as the complexity of geometry, the laminated structure of walls, the anisotropy of materials, the presence
of stiffeners, and the initial stresses. The object of the study is the sounding board of an acoustic guitar, the main structural
material of which is a three-layer birch veneer. Based on the finite-element method, a corresponding calculation model is
created, and the steady-state regimes of forced vibrations of the sounding board are investigated. A good correspondence between
calculation results and experimental data is found to exist.
__________
Translated from Mekhanika Kompozitnykh Materialov, Vol. 43, No. 3, pp. 399–410, May–June, 2007. 相似文献
35.
基于薄壁杆件理论,分析了薄壁箱梁弯曲剪流和约束扭转翘曲剪流计算时的翘曲连续性
条件. 从翘曲连续性条件出发,推导了薄壁箱梁约束扭转翘曲剪流的一般公式,此外,还指
出了有关文献中的错误并进行了更正. 最后对一个悬臂箱梁的约束扭转翘曲剪流进行了计算
比较. 相似文献
36.
薄壁杆约束扭转的单肢解析化分析方法 总被引:1,自引:0,他引:1
针对薄壁杆件约柬扭转的基本受力反应分析问题,采用与符拉索夫的经典约束扭转理论截然不同的立论途径,将自由扭转刚度视为调整因素,而将剥离了该抗力效应的薄壁杆件基本体系作为主要分析对象,推导出基于翘曲理论并考虑了自由扭转刚度影响的杆件刚度方程及结问荷载的等效措施.此外,提出了基于微段薄壁杆简化单刚的有效数值化分析方法.上述研究表明,对于钢构件等具有薄壁构型截面形式的杆件,这种单肢解析化分析方法无需进行复杂的截面特性如弯、翘曲惯矩或弯、形心坐标等的分析,力与变形的表达简洁、直接,本文的抗力性能分析和表述方式可为薄壁构件的稳定及畸变等研究提供新的思路切入点. 相似文献
37.
In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever =×(0,l) with rectangular cross-section of sides and 2, as goes to zero. Under suitable assumptions on the given loads, we show that the three-dimensional problem converges in a variational sense to the classical one-dimensional model for extension, flexure and torsion of thin-walled beams.
Mathematics Subject Classifications (2000) 474K20, 74B10, 49J45. 相似文献
38.
The paper presents a technique for thermoelastoplastic stress–strain analysis of flexible laminated shells of revolution under complex axisymmetric loading. The constitutive deformation equations are used to describe loading along arbitrary plane paths. The problem is solved by the method of successive approximations. A numerical example is given 相似文献
39.
Physically and geometrically nonlinear two-dimensional problems are formulated for multiply connected thin shells (weakened by several curvilinear holes). A technique and algorithm are proposed for their solution with allowance for elastoplastic strains and finite deflections of shells under static loading. Numerical results for a shell with two circular holes are presented and the stress concentration is analyzed 相似文献
40.
曲梁极限承载力涉及弯扭强度和稳定两方面的问题.尤其是曲梁进入弹塑性阶段后,截面上弯曲应力和扭转应力将不再保持原有的比例关系,问题变得更为复杂.水平曲梁在弹性和弹塑性阶段工作特性的研究成果为其工程应用提供了理论依据.在总结不同曲梁稳定极限承载力公式的基础上,通过对已有有限元计算结果的非线性回归,得到了工程实用的曲梁极限承载力估算公式. 相似文献