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应变-位移关系
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  strain-displacement relation
     Based on the dynamical equation, the constitutive relation and the strain-displacement relation, the vibration equation of small deflection beams was derived.
     基于动力学方程、本构关系和应变-位移关系建立了小变形粘弹性梁的振动方程。
短句来源
     Element-free Galerkin Method for the analysis of 2D geometrical nonlinearities is presented by means of geometrically nonlinear strain-displacement relation under small strain assumption.
     利用几何非线性的应变-位移关系,在小应变假设的条件下,推导出二维几何非线性问题中的无网格伽辽金法的计算格式。
短句来源
  strain-displacement relationship
     The relative displacement is obtained by subtracting the convecting displacement from the displacement, which makes it possible to adopt linear strain-displacement relationship in element local coordinate.
     通过对壳体运动的运动学分析,文中给出了可以准确反映刚体位移和刚体转动的位移模式,通过扣除单元的牵连位移,使得可以在单元局部坐标系内采用线性应变-位移关系
短句来源
     In this paper, the aeroelastic model of composite panel with thermal effects is established using von Karman large deformation strain-displacement relationship, piston theory of aerodynamics and quasi-steady theory of thermal stress.
     文中采用vonKarman大变形应变-位移关系、气动力活塞理论以及准定常热应力理论建立了考虑热效应的复合材料壁板颤振的气动弹性力学模型。
短句来源
     Based on the shell theory and the first order shear deformation theory, an accurate strain-displacement relationship of the helicoidal structure modeled is derived. An energy equilibrium equation of free vibration is introduced by the principle of virtual work. Applying the Rayleigh-Ritz method an analytical eigenvalue equation is formulated and solved the vibration characteristics of the helicoidal structure are obtained by an efficient computational approach.
     基于板壳理论和一阶剪切变形理论导出了螺旋状结构模型精确的应变-位移关系,根据虚功原理建立其自由振动的能量方程,运用瑞雷-李兹法建立该螺旋状结构的解析特征方程,并通过有效的计算方法求解其自由振动特性.
短句来源
  “应变-位移关系”译为未确定词的双语例句
     On the foundation of nonlinear displacement field, the FEM discrete method is applied, and the Kane's method is utilized in deriving the equations of motion.
     第二章从几何非线性应变-位移关系描述非线性变形场,使用有限元方法离散三维任意截面柔性梁,用Kane方法对离散的模型建立动力学方程,并通过算例验证了算法的正确性和可行性。
短句来源
     Based on the relationship,strain-displacement and constitution law,of elastic stress-strain,along with motion balance equation,the transport equations in 2-D and 3-D transversely isotropio medut ore derived using coordinate transformation and SVD (Singular Value Decomposition) technique .
     本文从应变-位移关系、弹性应力-应变本构关系以及运动平衡方程出发,通过应用座标变换及奇异值分解技术,推得了2-D及3-D横向各向同性介质中的传输线方程.
短句来源
     From the strain-displacement relations in the three-dimensional nonlinear elasticity theory, the displacements are expressed by the trigonometric series representation through the thickness of the plate.
     从三维非线性弹性理论中的应变-位移关系出发,将位移表达为沿板厚变化的一个三角级数。
短句来源
     Numerical analysis is made on consolidation mechanism of foundation soil with large deformation hypothesis.
     对强夯法加固地基机理进行数值分析。 在土体应变-位移关系上采用大变形假设;
短句来源
     A 21-DOF beam finite element,including transverse shear DOF and warping DOF,is developed for analysis. The governing differential equations of motion for a hingeless rotor are derived using the Hamilton's principle.
     推导出同时考虑剪切和翘曲影响的小应变、中等变形梁的应变-位移关系,并构造出21个自由度梁单元,应用Hamilton原理推导出桨叶运动的有限元方程。
短句来源
  相似匹配句对
     The relations between the three dimensional strain and the displacement of the geodetic points are established.
     建立了三维应变速率与位移关系;
短句来源
     They are mainly: 1. the relationship between displacement response and strain response ;
     主要是:应变响应与位移响应的关系
短句来源
     THE STRESS—STRAIN RELATIONSHIP FOR CONCRETE
     混凝土的应力应变关系
短句来源
     the relation (?)
     L上的关系(?)
短句来源
     Strain-Displacement Relationship for a Curved Element of Spatial Beam in 3-D Deformations
     空间曲梁单元应变──位移关系
短句来源
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  strain-displacement relation
On the basis of exact strain-displacement relation, equations of motion for flexible multibody system are derived by using virtual work principle.
      
The strain-displacement relation of the von Karman's large deflection theory is employed to describe the geometric non-linearity and the aerodynamic piston theory is employed to account for the effects of the aerodynamic force.
      
Based on precise strain-displacement relation, the geometric stiffening effect is taken into account, and the rigid-flexible coupling dynamic equations are derived using velocity variational principle.
      
In this paper, the Lagrangian description was used as a strain-displacement relation.
      
The mathematical description of the wave propagation includes a parabolic strain-displacement relation which enables the methodology to consider non-linear material responses where the strain is less than about 30%.
      
  strain-displacement relationship
An accurate strain-displacement relationship based on the thin-shell theory combined with the finite element method using triangular plate elements with three nodes and nine degrees of freedom for each node is utilized.
      
The axial displacements of an initially crooked, simply supported column, subjected to an axial compressive force at its end, are determined by using several variants of the axial strain-displacement relationship.
      
Geometric nonlinearity is accounted for as deformations and deformation rates are evaluated by using the Green-Lagrange strain-displacement relationship.
      
Using the exact finite strain-displacement relationship, the Eulerian strains ?xE, ?yE and γxyE were computed.
      
The specimen design is sufficiently simple that a closed-form expression for the strain-displacement relationship has been successfully developed.
      
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In this paper, variational principles in elasticity are classified according to the differences in the constraints used in these principles. It is shown in a previous paper[4] that the stress-strain relations are the constraint conditions in all these variational principles, and can not be removed by the method of linear Lagrange multiplier. The other possible constrants are four of them: ( 1 ) equations of equilibrium, ( 2 ) Strain-displacement relations, ( 3 ) boundary conditions of given external forces and...

In this paper, variational principles in elasticity are classified according to the differences in the constraints used in these principles. It is shown in a previous paper[4] that the stress-strain relations are the constraint conditions in all these variational principles, and can not be removed by the method of linear Lagrange multiplier. The other possible constrants are four of them: ( 1 ) equations of equilibrium, ( 2 ) Strain-displacement relations, ( 3 ) boundary conditions of given external forces and boundary conditions of given boundary displacements. In variational principles of elasticity, some of them have only one kind of such constraints, some have two kinds or three kinds of constraints and at the most four kinds of constraints. Thus, we have altogether 15 kinds of possible variationai principles. However, for every possible variational principle, either the strain energy density or the complementary energy density may be used. Hence, there are altogether 30 classes of functionals of variational principles in elasticity. In this paper, all these functionals are tabulated in detail.

本文按弹性理论中各种变分原理的约束条件的不同,对所有变分原理进行分类。我们在前文中业已指出,应力应变关系这样的约束条件是不能用拉氏乘子法解除的。剩下的可能约束条件共有四种:(1)平衡方程,(2)应变位移关系,(3)边界外力已知的边界条件,和(4)边界位移已知的边界条件。弹性理论的各种变分原理中,有的只有一种约束条件,有的有两种或三种,最多只能有四种约束条件。这样一共可能有15种变分原理,但是每种变分原理既可以用应变能A表示,又可以用余能B表示。这样,我们一共应有30种形式完全不同的变分原理,我们全部列出了这三十种形式的变分原理。

Finite strain components of circular plate are derived in the present paper using method of co-moving coordinate system of Chien and Chen[4]. The equations governing large deflection of variable thickness circular plate is then established by variational principle. Instead of dynamic relaxation method by Turvey [1978], infinite power series is used in solving the problem with an aid of a power series[1] is used in solving the problem with the aid of computer. The results show good agreement with Turvey. For...

Finite strain components of circular plate are derived in the present paper using method of co-moving coordinate system of Chien and Chen[4]. The equations governing large deflection of variable thickness circular plate is then established by variational principle. Instead of dynamic relaxation method by Turvey [1978], infinite power series is used in solving the problem with an aid of a power series[1] is used in solving the problem with the aid of computer. The results show good agreement with Turvey. For the convenience of engineering reference, necessary curves are also provided in this paper.

本文用拖带坐标法导出应变位移关系,并由变分原理建立平衡微分方程。方程的解法采用Way的无穷幂级数法。所得大挠度解答用曲线表示,以便工程设计参考。

This paper studies large deflection problem of beams and plates by the finite element method. The elongation of the middle surface caused by its rotation is considered in strain-displacenmet relations. The higher order terms will be reserved when strain energy is calculated. The elastic stiffness matrix, linear and nonlinear initial stress stiffness matrices are derived by the principle of minimum potential energy. Examples show that precision will be properly raised although the total storage amount and calculating...

This paper studies large deflection problem of beams and plates by the finite element method. The elongation of the middle surface caused by its rotation is considered in strain-displacenmet relations. The higher order terms will be reserved when strain energy is calculated. The elastic stiffness matrix, linear and nonlinear initial stress stiffness matrices are derived by the principle of minimum potential energy. Examples show that precision will be properly raised although the total storage amount and calculating time are

本文采用有限单元法分析梁、板的大挠度问题,在应变位移关系中考虑了转动引起的中面伸长;在计算应变能时保留了高阶项.应用最小位能原理导出空间柔性梁元、柔韧板元的弹性刚度矩阵、线性和非线性初应力矩阵,算例表明,在不增加存贮量和计算时间的条件下可适当提高解的精度、为排除寄生的刚体位移,应采用拖带坐标系的迭代法.

 
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