VII. F .1: a .. iJ b 7.Fl APPENDIX VII.F RAYLEIGH-RITZ ANALYSIS OF SQUARE CLAMPED PLATE LIST OF SYMBOLS - length of plate in x coordinate direction - amplitude of assumed displacement function - length of plate in y coordinate direction d - distance between stiffener center of gravity and plate neutral axis D . . . Et 3 Flexural rigidity of plate, 12 (l-v 2 ) E - Elastic modulus of plate material (tension) - assumed displacement shape in x coordinate direction - assumed displacement shape in y coordinate direction - depth of beam cross section bt 3 - Moment of inertia of beam segment, given by 12 for a rectangular cross section beam Mx - Bending moment about x coordinate axis P 0 - Hull internal pressure, 40,530 N/m 2 t - plate thickness, also width of beam cross section U - Internal potential energy; strain energy of a loaded structural element Up - Strain energy of plate segment Ustringx - ~f~=~~i~~ergy of stiffener running in x coordinate Ustringy - ~f~:!~i~~ergy of stiffener running in y coordinate - transverse deflection of plate, function of x and y W - Work done by loads applied to a structural element x,y - orthogonal coordinate directions in plane of undeformed plate
RkJQdWJsaXNoZXIy MTU5NjU0Mg==