AN APPROXIMATE SOLUTION OF EIGEN－FREQUENCIES OF TRANSVERSE VIBRATION OF RECTANGULAR PLATES WITH ELASTICAL RESTRAINTS

ＡＮＡＰＰＲＯＸＩＭＡＴＥＳＯＬＵＴＩＯＮＯＦＥＩＧＥＮ－ＦＲＥＱＵＥＮＣＩＥＳＯＦＴＲＡＮＳＶＥＲＳＥＶＩＢＲＡＴＩＯＮＯＦＲＥＣＴＡＮＧＵＬＡＲＰＬＡＴＥＳＷＩＴＨＥＬＡＳＴＩＣＡＬＲＥＳＴＲＡＩＮＴＳ（周叮）ＡＮＡＰＰＲＯＸＩＭＡＴＥＳＯＬＵＴ...     

Generalized variational principles of symmetrical elasticity problem of large deformations

ＧＥＮＥＲＡＬＩＺＥＤＶＡＲＩＡＴＩＯＮＡＬＰＲＩＮＣＩＰＬＥＳＯＦＳＹＭＭＥＴＲＩＣＡＬＥＬＡＳＴＩＣＩＴＹＰＲＯＢＬＥＭＯＦＬＡＲＧＥＤＥＦＯＲＭＡＴＩＯＮＳＺｈａｏＹｕ－ｘｉａｎｇ（赵玉祥）ＧｕＸｉａｎｇ－ｚｈｅｎ（顾祥珍）ＬｉＨｕａｎ－ｑｉｕ...     

LARGE DEFLECTION PROBLEM OF THIN ORTHOTROPIC CIRCULAR PLATE ON ELASTIC FOUNDATION WITH VARIABLE THICKNESS UNDER UNIFORM PRESSURE

ＬＡＲＧＥＤＥＦＬＥＣＴＩＯＮＰＲＯＢＬＥＭＯＦＴＨＩＮＯＲＴＨＯＴＲＯＰＩＣＣＩＲＣＵＬＡＲＰＬＡＴＥＯＮＥＬＡＳＴＩＣＦＯＵＮＤＡＴＩＯＮＷＩＴＨＶＡＲＩＡＢＬＥＴＨＩＣＫＮＥＳＳＵＮＤＥＲＵＮＩＦＯＲＭＰＲＥＳＳＵＲＥ（王嘉新）（刘杰）ＬＡＲＧ...     

Iterative algorithms for finding approximate solutions of completely generalized strongly nonlinear quasivariational inequalities

ＩＴＥＲＡＴＩＶＥＡＬＧＯＲＩＴＨＭＳＦＯＲＦＩＮＤＩＮＧＡＰＰＲＯＸＩＭＡＴＥＳＯＬＵＴＩＯＮＳＯＦＣＯＭＰＬＥＴＥＬＹＧＥＮＥＲＡＬＩＺＥＤＳＴＲＯＮＧＬＹＮＯＮＬＩＮＥＡＲＱＵＡＳＩＶＡＲＩＡＴＩＯＮＡＬＩＮＥＱＵＡＬＩＴＩＥＳＺｅｎｇＬｕ－ｃ...     

ANOTHER CLASS D＇ALEMBERT PRINCIPLE AND A NEW MAGGI EQUATION FOR ARBITRARY ORDER NONHOLONOMIC MECHANICAL SYSTEMS IN DERIVATIVE SPACE

ＡＮＯＴＨＥＲ　ＣＬＡＳＳ　Ｄ＇ＡＬＥＭＢＥＲＴ　ＰＲＩＮＣＩＰＬＥ　ＡＮＤ　Ａ　ＮＥＷ　ＭＡＧＧＩ　ＥＱＵＡＴＩＯＮ　ＦＯＲ　ＡＲＢＩＴＲＡＲＹ　ＯＲＤＥＲ　ＮＯＮＨＯＬＯＮＯＭＩＣ　ＭＥＣＨＡＮＩＣＡＬ　ＳＹＳＴＥＭＳ　ＩＮ　ＤＥＲＩＶＡＴＩＶＥ...     

EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS OF SECOND ORDER NONLINEAR EQUATION

ＥＸＩＳＴＥＮＣＥＯＦＰＯＳＩＴＩＶＥＳＯＬＵＴＩＯＮＳＦＯＲＡＣＬＡＳＳＯＦＳＩＮＧＵＬＡＲＴＷＯＰＯＩＮＴＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＳＯＦＳＥＣＯＮＤＯＲＤＥＲＮＯＮＬＩＮＥＡＲＥＱＵＡＴＩＯＮ（杨作东）ＥＸＩＳＴＥＮＣＥＯＦＰＯＳ...     

Integral invariants of a holonomic dynamical ststem

ＩＮＴＥＧＲＡＬＩＮＶＡＲＩＡＮＴＳＯＦＡＨＯＬＯＮＯＭＩＣＤＹＮＡＭＩＣＡＬＳＴＳＴＥＭＮａｓｅｅｒＡｈｍｅｄ（ＭａｔｈｅｍａｔｉｃｓＤｅｐａｒｔｍｅｎｔ．Ｑｕａｉｄ－ｉ－ＡｚａｍＵｎｉｖｅｒｓｉｔｙ,Ｉｓｌａｍａｂａｄ,Ｐａｋｉｓｔａｎ）（Ｒｅｃ...     

ON GENERAL TYPE OF DIGITAL OPTIMAL PREVIEW SERVO SYSTEM

ＯＮＧＥＮＥＲＡＬＴＹＰＥＯＦＤＩＧＩＴＡＬＯＰＴＩＭＡＬＰＲＥＶＩＥＷＳＥＲＶＯＳＹＳＴＥＭ（廖福成）（江上正）（土谷武士）（于欣）ＯＮＧＥＮＥＲＡＬＴＹＰＥＯＦＤＩＧＩＴＡＬＯＰＴＩＭＡＬＰＲＥＶＩＥＷＳＥＲＶＯＳＹＳＴＥＭ￥ＬｉａｏＦｕｃｈｅｎ...     

EXISTENCE OF SOLUTIONS OF THREE－POINT BOUNDARY VALUE PROBLEMS FOR NONLINEAR FOURTH ORDER DIFFERENTIAL EQUATION

ＥＸＩＳＴＥＮＣＥＯＦＳＯＬＵＴＩＯＮＳＯＦＴＨＲＥＥ－ＰＯＩＮＴＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＳＦＯＲＮＯＮＬＩＮＥＡＲＦＯＵＲＴＨＯＲＤＥＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮ￥ＧａｏＹｏｎｇｘｉｎ（高永馨）（Ｄｅｐａｒｔｍｅｎｔｏ...     

RELATIVISTIC VARIATION PRINCIPLES AND EQUATION OF MOTION FOR VARIABLE MASS CONTROLLABLE MECHANICAL SYSTEM

ＲＥＬＡＴＩＶＩＳＴＩＣＶＡＲＩＡＴＩＯＮＰＲＩＮＣＩＰＬＥＳＡＮＤＥＱＵＡＴＩＯＮＯＦＭＯＴＩＯＮＦＯＲＶＡＲＩＡＢＬＥＭＡＳＳＣＯＮＴＲＯＬＬＡＢＬＥＭＥＣＨＡＮＩＣＡＬＳＹＳＴＥＭ￥(罗绍凯)ＬｕｏＳｈａｏｋａｉ（ＳｈａｎｇｑｉｕＴｅａｃｈｅｒｓ...     

Birkhoff系统的一类积分不变量的构造

分别建立了自由Birkhoff系统和约束Birkhoff系统的非等时变分方程,并且利用系统的Birkhoff方程及其非等时变分方程证明,可由第一积分直接构造该系统基于非等时变分的一类积分不变量。文中,举例说明结果的应用。     

The parameter perturbation method on elastic wave equation in inhomogeneous medium

I.IntroductionTheelasticwaveininhomogeneousmediumiscomplicatedbecauseofthediffracting,scattering,andtransmutingofthewavetapes.Exceptforsomesimpleandregularmediummode1s,thesolutionofelasticwavehasnotbeengotyet.Nowadays,theresearchoftheelasticwavescattering…     

三维有限体中平片裂纹的超奇异积分方程方法——Ⅰ、理论分析

本文利用单个平片裂纹的基本解,将三维有限体中的平片裂纹问题,归为解一组超奇异积分方程,然后使用主部分析方法,对这组方程的求解作了理论分析,其结果在本文的第Ⅰ部分给出,关于这组方程的数值法求解,则给出于本文的第Ⅱ部分。     

Hertz接触问题的解的唯一性条件

讨论了接触面为圆面的Ｈｅｒｔｚ接触问题。若压力分布是轴对称的，则该接触问题的解必是唯一的。且在上述条件下，该接触问题的积分方程可化为两个推广的Ａｂｅｌ积分方程组，此方程组的解便给出此接触问题的解。     

Integral theory for the dynamics of nonlinear nonholonomic system in noninertial reference frames

This paper establishes the integral theory for the dynamics of nonlinearnonholonomic system in noninertial reference frame.Firstly,based on the Routhequation of the relative motion of nonlinear nonholonomic system gives the firstintegral of the system.Secondly,by using cyclic integral or energy integral reduces theorder of the equation and obtains generalized Routh equation and Whittaker equationrespectively.Thirdly,derives canonical equation and variation equation and by usingthe first integral constructs integral invariant.And then,establishes the basic integralvariants and the integral invariant of Poincare-Cartan type.Finally,we give a series ofdeductions.     

Bending integral expressions of a cylinder with cracks

ＢＥＮＤＩＮＧＩＮＴＥＧＲＡＬＥＸＰＲＥＳＳＩＯＮＳＯＦＡＣＹＬＩＮＤＥＲＷＩＴＨＣＲＡＣＫＳＷａｎｇＸｉａｏ－ｃｈｕｎ（王晓春）（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃｓ,ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ,Ｂｅｉｊｉｎｇ）（ＲｅｃｅｉｖｅｄＮｏｔ...     

A new boundary integral equation for plane harmonic functions

In this paper, we propose a new boundary integral equation for plane harmonic functions. As a new approach, the equation is derived from the conservation integrals. Every variable in the integral equation has direct engineering interest. When this integral equation is applied to the Dirichlet problem, one will get an integral equation of the second kind, so that the algebraic equation system in the boundary element method has diagonal dominance. Finally, this equation is applied to elastic torsion problems of cylinders of different sections, and satisfactary numerical results are obtained.     

A coupled problem of thermoelastic vibrations of a circular plate with exact boundary conditions

Thermoelastic vibrations of a free supported and clamped circular plate caused by a thermal shock upon the plate surface have been analyzed The system of partial differential equations of the coupled system has been reduced to Volterra's first and second kind integral equations in the time domain. In both cases the solutions are given in the.form 4f series of Bessel functions of the first kind     

Application of canonical coordinates for solving single-freedom constraint mechanical systems

This paper introduces the canonical coordinates method to obtain the first integral of a single-degree freedom constraint mechanical system that contains conserva-tive and non-conservative constraint homonomic systems. The definition and properties of canonical coordinates are introduced. The relation between Lie point symmetries and the canonical coordinates of the constraint mechanical system are expressed. By this re-lation, the canonical coordinates can be obtained. Properties of the canonical coordinates and the Lie symmetry theory are used to seek the first integrals of constraint mechanical system. Three examples are used to show applications of the results.     

平面Laplace外边值问题

证明平面调和函数的Dirichlet外问题解存在唯一的充要条件,在此基础上,确立外问题的等价边界积分方程,首次给出外域上的极值原理,对第一类Fredholm边界的积分方程的可解性进行了讨论。