共查询到20条相似文献,搜索用时 46 毫秒
1.
2.
3.
4.
5.
利用粘弹性微分型本构关系和薄板理论,对线性变厚度粘弹性矩形薄板建立了在切向均布随从力作用下的运动微分方程,采用微分求积法研究了在随从力作用下线性变厚度粘弹性矩形薄板的稳定性问题,具体对对边简支对边固支和三边简支一边固支条件下体变为弹性、畸变服从Kelvin-Voigt模型的变厚度粘弹性矩形板在随从力下的广义特征值问题进行了求解,分析了薄板的长宽比、厚度比及材料的无量纲延滞时间的变化对随从力作用下矩形薄板的失稳形式及相应的临界荷载的影响. 相似文献
6.
基于Kachanov蠕变损伤理论和Von Karman非线性板理论,建立了在横向和面内载荷
共同作用下蠕变损伤四边简支矩形板的非线性弯曲平衡方程,采用有限差分法进行
数值迭代求解,分析了几何非线性、面内荷载等因
素对板非线性蠕变损伤特性的影响. 相似文献
7.
在边界积分法中引用了拟基本系统矩形板,在该拟基本系统与实际系统之间应用功的互等定理,得到一挠曲面方程的积分表达式,只要对此表达式进行极简单的积分便可得到该挠曲面方程,这比直接求解Reissner挠度控制方程要简单,边界积分法的求解过程概念清晰,计算伊始便给出了挠曲面方程的总体表达式.以Reissner厚板理论为基础,应用边界积分法研究了角点悬空厚矩形板的弯曲问题,给出了在集中荷载作用下两邻边固定另两邻边自由且角点悬空弯曲厚矩形板的封闭解析解,并给出了相应的数据和图表以供工程上的应用和参考. 相似文献
8.
一边固定一角点或二角点支承的矩形板弯曲统一求解方法 总被引:4,自引:0,他引:4
本文的统一法可以解决悬壁板或带有角点支承时在任意荷载作用下的弯曲。这种方法求解思路清晰、收敛速度快,计算精度高。 相似文献
9.
角支及多点支承矩形板的弯曲 总被引:3,自引:0,他引:3
本文取两对边简支另两对边自由的板为初始解,用迭加法在两边简支板上迭代消去板边上的剪力。为了简化消去板边剪力的复杂迭代过程,作者提出了高精度的简化方法,将无限迭代简化为一次计算,将角支板的求解化为计算两个对边简支矩形板的简单问题。对于多点支承矩形板,则可取角点支承板为基本结构用力法求解。文中还提出了一些实用经验公式,列出了典型算例,验证了方法的适用性和高精度。 相似文献
10.
矩形板在四角顶被支承的弯曲问题,张福范在文中考虑了在板的平面内荷载为均布荷载的问题。在文中考虑了有一集中力作用在板的中线上任一点以及作用在某一板边的中点问题。其弯曲面系关于中线或垂直于作用力边的中线为对称。本文考虑不对 相似文献
11.
一种正交各向异性板的等效各向同性板计算法 总被引:1,自引:0,他引:1
上、下表面平整的正交各向异性板的有效抗扭刚度是2个主方向抗弯刚度的几何平
均值. 根据这一特性、从正交各向异性板挠曲面的偏微分方程出发,保持一个主方向尺寸不变,
另一主方向的尺寸做线性缩放,保持弹性模量与第一主方向相同,泊松比取2个主方向泊松
比的几何平均值,将这类正交各向异性板等效为一块各向同性板;通过分析得到:各向同性
板任意点的挠度就是原正交各向异性板对应点的挠度,各对应点内力之间存在简单的比例关
系,该文的方法将为工程技术人员提供方便,同时可以更加直观的认识正交各向异性板的受
力. 相似文献
12.
On the basis of anisotropic mathematical elasticity, using multiple conformal representations, the stress functions of multiple
complex variables for an infinite multiply-connected anisotropic plate are derived. The functions are developed in Fourier
series on unit circles, and the unknown coefficients of the functions are determined by undetermined coefficients method.
Then the stresses in the plate can be calculated. A plate containing multiple elliptical holes or cracks is discussed, and
the corresponding FORTRAN77 program is developed. Five examples are given. The results show that this method is very effective
and convenient.
The project supported by Aeronautical Science Foundation of China 相似文献
13.
A numerical method for clamped thin rectangular plates carrying a uniformly distributed load and the exact solution of the
governing equations are given. The solution is presented in a simple form suitable for direct practical use. The method is
a very simple and practical approach. The results are compared with those reported in the previous papers
Published in Prikladnaya Mekhanika, Vol. 43, No. 6, pp. 126–143, June 2007. 相似文献
14.
运用摄动理论首次将Reissner板理论分解为一系列Kirchhof板理论的叠加。这样,Reissner板问题的解答就可通过在具体边界条件下求解一系列Kirchhof板问题来获得。算例表明,本文方法简单,只需摄动两次就能接近Reissner板理论的精确解,适合在实际工程中推广 相似文献
15.
16.
本文提出了常水深环境下中厚度圆浮板自由振动的一个解析解.分析中考虑了板横向剪切变形的影响和横截面转动惯性效应,利用空气中中厚度圆板的振型叠加和势流理论,导得了浮板系统频率方程的解析式.由此可看出Y.Tanaka得到的圆形薄浮板的解是本文的特例.最后数值计算还给出了水深和钢缆刚度与频率的关系曲线.并指出了h/a在什么范围可以略去剪切变形和转动惯量的影响. 相似文献
17.
厚薄板通用三角形位移元 总被引:1,自引:0,他引:1
本文构造出了一种具有九个自由度的厚薄板通用三角形位移单元,并给出了单元刚度矩阵显式。这种单元以其简洁的常规位移元列式可在相当宽的板厚变化范围内(包括板厚为零)获得很高的计算精度,其结果可与相应的矩形单元相比。而且不会出现剪切自锁。 相似文献
18.
BENDING SOLUTION OF A RECTANGULAR PLATE WITH ONE EDGE BUILT-IN AND ONE CORNER POINT SUPPORTED SUBJECTED TO UNIFORM LOAD 总被引:3,自引:0,他引:3
BENDING SOLUTION OF A RECTANGULAR PLATE WITH ONE EDGE BUILT-IN AND ONE CORNER POINT SUPPORTED SUBJECTED TO UNIFORM LOADXuQilo... 相似文献
19.
Summary In this paper, micromechanics methods are applied to characterize the damage of plate structures, both Love-Kirchhoff and Reissner-Mindlin plates, due to microcrack distribution. Analytical expressions for effective stiffness of a damaged plate with distributed microcracks are derived for the first time. The results are compared with the results based on continuum damage theory, and it is found that there are significant differences between the two. It is well known that constitutive relations at the structural level, e.g. curvature/moment relation, and shear/transverse strain relation, are fundamentally different from the constitutive relation at the material level, i.e. stress/strain relations. This is because a priori kinematic assumptions in engineering structural theories pose additional constitutive constraints on the relationships between stress resultant/couple and strain measures. The newly derived effective stiffness formulae for various plates reflect such constitutive constraints, and therefore are consistent with engineering plate theories. They provide an alternative means in structure designs and structure damage evaluations.The work is supported by an Junior Faculty Research Fund (BURNL-07427-11503-EGSLI) to Professor Shaofan Li provided by the senate committee on research of University of California at Berkeley. The authors would like to thank the referees of AAM helpful comments and suggestions. 相似文献
20.
H. G. Beom 《Archive of Applied Mechanics (Ingenieur Archiv)》1998,68(6):422-432
Summary An infinite plate containing an elliptic subregion in which a uniform eigencurvature is prescribed is analyzed. The problem
is formulated by using the classical plate theory. Employing the Maysel's relation, an integral-type solution to the equilibrium
equation is expressed in terms of the eigencurvature. Closed-form solutions of the displacement and corresponding resultant
moment are obtained for interior points as well as for exterior points of the ellipse. An infinite plate containing an elliptic
inhomogeneity in which a uniform eigencurvature is prescribed is also considered. The disturbance of the displacement and
corresponding resultant moment due to the inhomogeneity is determined by the equivalent eigencurvature method. Solutions of
a circular finite plate with uniform eigencurvature in a circular zone are also obtained analytically.
Received 30 September 1997; accepted for publication 3 February 1998 相似文献