Dynamic buckling of axisymmetric spherical caps with initial imperfections

Nonlinear dynamic buckling of spherical caps with initial imperfections

“…[6]. It is found tha t ini ti al imp erfect ion s do ind eed have the effec t of reducing the cap buckling capacity, and that the rate of change of th e buckling load with respect to the imperfection is -2 -greater when caps respond staticall y than dynam ically.…”

“…and hence i~ (x , 6) = ( 2/ 6 2 ) w (x , 6) 3) t = 2 6 ; ~ (w , 2 6) = ( 2 / 6 2 ) [w (x , 2 6 ) -3w (x ,6)]…”

“…However , it does 1 r ov ide an ade qu at e descri pt ion for a c t u a l s h e l l s s i n c e t h e i m p o r ta n t p a r a m e t e r i s the m aximum The c r i t e r i o n adopted most widely (Ref~. [1][2][3][4][5][6]) is based on plots of the peak nondime nsional average displacement in time h i s t o r y , A max~ of t h e shell structure versus the amplitude of the load where i, is th e average displacement and has been defined …”

“…Two typ es of load ing were also treat ed in Ref . [6], n a m e l y , step pressure of infinite duration and triangular pulses of various time durations.…”

Large deformation elastic-plastic buckling analysis of spherical caps with initial imperfections

“…The analysis of the proposed title problem can be proceeded by incorporating the appropriate plasticity theory into an existing computer code [12].…”