湖南大学 有限单元法 概论.pdf

I 1 ( ) () ( 1- 1) 1-1 ,(Elements Components) 1-2 ,,• , u,v 3 w,j x ,j y 1-2 , (, ),0,• ,• ,(uv ) i i ,, , (discrete) , (), (continuous) 1 1.1 (The Finite Element Method) R.W.Clough 1960 (R.W.Clough, The Finite Element in •plane •stress •an •analysis,•proc.2nd ASCE conf. on Electronic Computation, pittsburgh,pa., sept. 1960). 1941 ( , 1988 ) 1941 , Horenikoff 1943 Courant 1943 Courant 1941 Variational methods for the solution of problems of equilibrium and vibration 1956 Turner CloughMartin Toop Stiffness and deflection analysis of complex structures Clough O.C.Zienkiewize The Finite Element Method 5 The limitation of the human mind are such that it can not grasp the behaviour of its complex surroundings and creations in one operation. Thus the process of subdividing all systems into their individual components or elements, whose behaviour is readily understood, and then rebuilding the original system from such components to study its behaviour is a natural way in which the engineer, the scientist, or even the economist proceeds. :•