英语翻译Since the structure is composed of several finite elemen

英语翻译
Since the structure is composed of several finite elements,the individual element siffness matrices and load vectors are to be assembled in a suitable manner and the overall equlibrium equations have to be formulated as [K] =P where [K] is called the assembled stiffness matrix,Q is the vector of nodal displacements and P is the vector of nodal forces for the complete structure.
Step(v):Solution for the unknown nodal displacements
The overall equilibrium equations have to be modfied to account for the boundary conditions of the problem.After the incorporation of the boundary conditions,the equilibrium equations can be expressed as [K] =P
For linear problems,the vector Q can be solved very easily.But for nonlinear problems,the solution has to be obtained n a sequence of steps,each step involving the modification of the stiffness matrix [K] and/or the load vector P.
Step(vi):Computation of element strains and stresses
From the known nodal displacements Q,if required,the element strains and stresses can be computed by using the necessary equations of solid or structural mechanics.
The terminology used n the above six steps has to be modified if we want to extend the concept to other fields.For example,we have to use the term continuum or domain in place of structure,field variable in place of displacement,characteristic matrix in place of stiffness matrix,and element resultants n place of element strains.

引入的取代接近在朝派很多阶段的设计解决方案的强调和尽最大努力散发在朝派有弹性统一体存在 required.Special cases的这样problems有能力范围从二维的刨平强调金色尽最大努力散发axi-对称固体器皿弯曲和外壳向完全三维的solids.In所有的一切cases数的互相连接在中间any’finite element’被孤立的在附近一些虚数边界和neighbourng原理存在无限.它是问题可以是discretized的怎样这样因此困难主教的职位起初一瞥.能被解决困难(和近似值使)在朝派成为下列的方式:(a)统一体被maginary线分开或者处理变为许多 ‘finiteelements’的数目的表面.(b)自然力被假定被在一位于他们的boundaries.The这些取代的分离的节的pointa的数目互相连接节的点将就象在不做作,分离的,结构上分析中是问题的基本不知道参数.(c)一套的 functions被选择独一无二地定义在每一‘finiteelement’以内按照它的节的取代取代的状态.(d)现在取代功能独一无二地定义紧张withn的状态少许按照节的取代.这些连同任何材料的开头紧张和有创设权的小道具紧张将在它的边界上在整个要素和因此也定义压力的状态.