Stiffness formula of cable element under general situations and its application 一般情况下小垂度索的刚度方程及其应用
Based on the force - method equation , the stiffness matrix and fixed - end nodal displacement and force vector are derived 在力法方程的基础上,给出了组合梁单元的刚度矩阵、杆端位移向量及杆端荷载向量并建立了刚度方程。
By using 3 - d isoparametric element , the global stiffness matrix equation for the piezoelectric laminate is obtained on the bases of minimum principle of total potential energy 由于最小势能原理,建立了单元刚度矩阵和压电材料的整体刚度方程。并且推导了压电层合板的边界条件。
On the basis of the virtual work principles and nonlinear finite element theory , the author introduces a plausible method which analyzes the double nonlinear problem of structure by importing the elastic - plastic constitutive relationship matrix into geometric nonlinear fea equation 摘要从非线性有限元理论出发,基于虚功原理,阐述在几何非线性刚度方程有限元列式中引入非线性本构关系矩阵、合理考虑结构双重非线性问题的理论方法。
When analyzing skew support continuous curved box girder bridge , curved grid girder analyzing method considering warping effect is applied . matrix displacement method is applied in analyzing skew support continuous curved thin - walled box girder bridge with restrained bearing . in order to convert original rigidity equations to structural rigidi ty equations that can be solved , bearing nodal displacement matrix can be introduced , then unknown quantities at the edge of beams can be consistent with the restrained directions of skew bearings , unit rigidity matrix and unit nodal forces can be gained . structural rigidity matrix can be composed according to matrix displacement method , so nodal displacements and inner forces on the end of the rod that are unknown can be gained calculating equations of inner forces on any cross - section can be solved 分析斜支承连续曲线箱梁桥时,采用考虑翘曲作用的曲线格子梁分析方法,应用矩阵位移法对具有约束支承形式的斜支承连续曲线薄壁箱梁桥进行分析,考虑到支座的约束条件并不与梁端弯曲角位移和扭转角位移的方向一致,引入支座节点坐标矩阵,使得梁端的位移未知量与斜支座约束方向一致,来计算单元刚度矩阵和单元节点力,然后按照矩阵位移法组集总刚并建立结构刚度方程,根据结构刚度方程即可求解未知的节点位移及杆端力,推导出任意截面处的内力计算公式。