双参数地基上偏心集中力作用的圆板

本文得到了双参数地基(Pasternak)上圆板非轴对称弯曲的精确解。作为例子,详细研究了承受偏心集中力作用的圆形板。从文中得到的结果可看出,文献[5]中轴对称情况下改进的Vlazov解是这里的特殊情况。     

弹性地基扇形板弯曲问题的复Bessel函数级数解

本文对于在Ｗｉｎｋｌｅｒ型弹性地基上的扇形板弯曲问题给出了一种级数解法。对于沿径向简单支撑的扇形板,在周向采用正纪三角函数展开后,将于关径向待定函数的Ｂｅｓｓｅｌ方程用复Ｂｅｓｓｅｌ函数表示其解。然后,将其变换成实解形式,从而得到原问题齐次方程的实能解。在此基础上,对于扇形板受集中力或沿周向线分布载荷作用下的弯曲解给出了一般设计方法以及任意横向载荷作用下挠曲函数的表达式,并给出沿径向和周向都为简单     

Winkler地基上扇形板的Fourier—Bessel级数解

本文以加补充项的Ｆｏｕｒｉｅｒ－Ｂｅｓｓｅｌ双重级数的位移模式，对Ｗｉｎｋｅｒ地基上扇形板的弯曲问题，提出了一种新的，应用范围的比较广的便于计算的，解析形式的解法，给出了算例和数值结果，推广了加补充项的富氏级数法的应用范围。     

双参数地基上扇形板的Fourier—Bessel级数解

本文以加补充项的Ｆｏｕｒｉｅｒ－Ｂｅｓｓｅｌ双重级数的位移模式，对双参数地基上扇形板的弯曲问题，提出了一种新的，应用范围比较广的，便于计算的，解析形式的解法，给出了算例和数值结果，推广了加补充项的富氏级数法的应用范围。     

弹性地基扇形权弯曲问题的复 Bessel 函数级数解

本文对于在 Winkler 型弹性地基上的扇形板弯曲问题给出了一种级数解法。对于沿径向简单支撑的扇形板,在周向采用正弦三角函数展开后,将关于径向待定函数的 Bessel 方程用复 Bessel 函数表示其解。然后,将其变换成实解形式,从而得到原问题齐次方程的实通解。在此基础上,对于扇形板受集中力或沿周向线分布载荷作用下的弯曲解给出了一般计算方法以及任意横向载荷作用下挠曲函数的表达式,并给出了沿径向和周向都为简单支撑情形的算例。     

Winkler地基上环扇形板的Fourier—Bessel级数解

本文应用加补充项的富里叶级数理论，对弹性地基环扇形板的弯曲问题，提出了一种应用范围比较广的、便于计算的、解析形式的解法，从而进一步推广了富里叶级数的应用范围。     

弹性地基上自由边矩形板弯曲问题的研究

本文对于弹性地基上自由边矩形板弯曲问题构造了满足全部自由边界条件和自由角点条件的特殊挠度函数，然后应用能量原理得出该问题的挠度解答。通过算例验算了该方法的正确性，计算结果表明，该方法具有简便，精度高的优点，是工程结构计算的有效方法。     

弹性地基Reissner板局部荷载下的弯曲

本文取两对边滑支板为初始解,逐步迭代消去边缘约束弯矩得到原四边自由板的解。通过对边缘弯矩所作的近似假定,将无限迭代化为一次计算,使计算大为简化,避免了解无限维线性方程组或反复迭代的繁冗过程,只需要极小的计算机内存。分析时只用到单三角级数,易于控制计算精度。文中通过实例考察了方法的精度和实用性。     

弹性地基上正交各向异性自由矩形板的弯曲

本文运用文所建立的方法,研究Winkler弹性地基上正交各向异性自由矩形板弯曲问题的精确解。以受集中载荷作用的板为例,给出不同弹性系数地基上板的位移和弯矩的数字计算结果。     

受集中荷载作用的简支环扇形板的Fourier—Bessel级数解

本文以加补充项的Ｆｏｕｒｉｅｒ－Ｂｅｓｓｅｌ双重级数的位移模式，分析了受集中荷载作用的简支环扇形弹性薄板的弯曲问题，给出了解析解和数值结果，推广了加补充项的富氏级数法的应用范围。     

Bending of Circular Sandwich Plate on Elastic Foundation

Bending of elastic circular sandwich plate with light filler, which is on an elastic foundation, is considered. To describe the kinematics of plate bending that is nonsymmetric in sandwich thickness, broken normal hypotheses are accepted. The foundation reaction is described by the Winkler model. The load is local symmetrical. A set of equilibrium equations and their exact solution in displacements have been obtained. Numerical results for a metal-polymeric sandwich plate are given. __________ Translated from Problemy Prochnosti, No. 6, pp. 68 – 78, November – December, 2005.     

Contact Interaction of the Crack Edges in the Case of Bending of a Plate with Elastic Support

The problem of bending of a cracked plate with elastic support is solved in the two-dimensional statement. The phenomenon of crack closure under the conditions of bending is described by using a model of contact along the line. The influence of the elastic support and contact interaction of the crack edges on the limiting stressed state of the plate is investigated.     

Maximum Stresses in a Taper‐shanked Round‐ended Lug Loaded by an Oblique Concentrated Force*

Abstract: In this study, the stress state in a round‐ended, taper‐shanked lug loaded by an oblique point force is investigated. Numerical, analytical and, partially, photoelastic studies were carried out. In the analytical model, the lug is modelled as a plane problem, and it is partially likened to a ring examined with a Michell‐type series solution; the differences in shape between lug and ring are overcome by endowing the series solution with degrees of freedom suitable for adapting the ring solution to the lug actual geometry. Three prompt access design charts are presented, which report the normalised stress concentration for three lug shank taper angles, for selection of five aspect ratios between bore radius and radius of the rounded extremity, and for load inclinations ranging from longitudinal to transverse directions.     

多自由度不对称分段线性系统强迫振动的Fourier级数解法

研究了多自由度不对称分段线性系统的强迫振动问题。把恢复力中的非线性部分表成与激振力具有同一周期的Fourier级数后，导出了以Fourier级数各谐波系数为未知数的联立方程组，把求周期解的问题最终归结为求解一组代数方程组的问题。在周期解的稳定性分析中，利用求周期解时得到的2N个相位角把一个周期区间分割成为若干个线性子区间，使得在全周期上求解周期系数方程组的问题转化成在各个子区间上求解常系数方程组的问题，因而大大地简化了建立单值矩阵的工作。     

Fracture of an Elastic rib Reinforced Plate Weakened by a Circular Cracked Hole

The present paper considers an important for engineering application problem of fracture of an elastic plate weakened by a circular hole with radius and emanating from its countur a crack of length. Refere the plate to the system of coorinates or in complex variables with an origin at the centre of the hole and axis directed along the crack, Fig.1.     

Calculation Method for Axisymmetric Bending of Circular and Annular Plates on a Changeable Elastic Bed. Part 2. Calculation Results for Continuous Circular Plates

Strength of Materials - Continuous circular plates on a variable elastic foundation are considered. It is assumed that the reaction of the foundation is described by the Winkler model with the...     

Analytical Solution to the Plane Bending Task of the Multilayer Beam with a Circular Axis under Normal Uniform Loading

Strength of Materials - Circular bars are widespread elements in building and mechanical engineering. They allow one to enhance the strength of the multilayer composite materials along with their...     

Calculation Method for Axisymmetric Bending of Circular and Annular Plates on a Changeable Elastic Bed. Part 1. Analytical Relations

Strength of Materials - Circular and ring plates on a continuous changeable elastic bed are considered. It is assumed that the bed response is described by the Winkler model with a changeable...