Stiffness formula of cable element under general situations and its application 一般情況下小垂度索的剛度方程及其應(yīng)用
Based on the force - method equation , the stiffness matrix and fixed - end nodal displacement and force vector are derived 在力法方程的基礎(chǔ)上,給出了組合梁單元的剛度矩陣、桿端位移向量及桿端荷載向量并建立了剛度方程。
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 由于最小勢能原理,建立了單元剛度矩陣和壓電材料的整體剛度方程。并且推導(dǎo)了壓電層合板的邊界條件。
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 摘要從非線性有限元理論出發(fā),基于虛功原理,闡述在幾何非線性剛度方程有限元列式中引入非線性本構(gòu)關(guān)系矩陣、合理考慮結(jié)構(gòu)雙重非線性問題的理論方法。
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 分析斜支承連續(xù)曲線箱梁橋時,采用考慮翹曲作用的曲線格子梁分析方法,應(yīng)用矩陣位移法對具有約束支承形式的斜支承連續(xù)曲線薄壁箱梁橋進(jìn)行分析,考慮到支座的約束條件并不與梁端彎曲角位移和扭轉(zhuǎn)角位移的方向一致,引入支座節(jié)點(diǎn)坐標(biāo)矩陣,使得梁端的位移未知量與斜支座約束方向一致,來計算單元剛度矩陣和單元節(jié)點(diǎn)力,然后按照矩陣位移法組集總剛并建立結(jié)構(gòu)剛度方程,根據(jù)結(jié)構(gòu)剛度方程即可求解未知的節(jié)點(diǎn)位移及桿端力,推導(dǎo)出任意截面處的內(nèi)力計算公式。