
Accession Number : AD0700463
Title : BENDING DESIGN FOR ELASTIC PLATES OF VARIABLE THICKNESS WITH TWO FREE OPPOSITE SIDES,
Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHTPATTERSON AFB OHIO
Personal Author(s) : Petrov,Yu. P.
Report Date : 14 OCT 1969
Pagination or Media Count : 18
Abstract : Bending of an elastic trapezoidal plate of variable thickness with an external load distributed over its entire area is examined. Sides AD and BC are always free; AB and CD can be free, freely supported, or rigidly attached. A discrete method described earlier by Yu. P. Petrov is used, which makes it unnecessary to determine the 'contour' functions and considerably simplifies solution of the problem. The boundary conditions for the abovementioned three possible states of side AB are examined. For the discrete method, the problem is converted from twodimensional to onedimensional by dividing the plate. The obtained system of integrodifferential matrix equations is solved by successive approximations. A method of discrete successive approximations is also discussed. (Author)
Descriptors : (*STRUCTURAL MEMBERS, *BENDING), BOUNDARY VALUE PROBLEMS, DIFFERENTIAL EQUATIONS, LOADS(FORCES), FORCE(MECHANICS), ELASTIC PROPERTIES, BUCKLING, APPROXIMATION(MATHEMATICS), USSR
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE