TY - JOUR
T1 - Design Sensitivity Analysis for Elastodynamic Systems
AU - Tortorellit, Daniel A.
AU - Lu, Stephen C.Y.
AU - Haber, Robert B.
N1 - Funding Information:
Financial and computer support for this work were provided by the Aluminum Company of America, Pittsburgh, Pennsylvania; General Motors Advanced Engineering Staff, Warren, Michigan; and the National Science Foundation, through the National Center for Supercomputing Applications, Champaign, Illinois.
PY - 1990/3/1
Y1 - 1990/3/1
N2 - An adjoint approach, derived from the reciprocal theorem and the theory of convolution, is used to formulate design sensitivities for linear elastodynamic systems. Variations of a general design functional are expressed in explicit form with respect to variations of all design variables; i.e,, material properties, applied loads, prescribed boundary conditions, initial conditions, and shape. The design functional is a function of these explicit variables and the implicit response fields: displacement, velocity, acceleration, stress, strain, and reaction forces.
AB - An adjoint approach, derived from the reciprocal theorem and the theory of convolution, is used to formulate design sensitivities for linear elastodynamic systems. Variations of a general design functional are expressed in explicit form with respect to variations of all design variables; i.e,, material properties, applied loads, prescribed boundary conditions, initial conditions, and shape. The design functional is a function of these explicit variables and the implicit response fields: displacement, velocity, acceleration, stress, strain, and reaction forces.
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U2 - 10.1080/08905459008915660
DO - 10.1080/08905459008915660
M3 - Article
AN - SCOPUS:0342477864
SN - 0890-5452
VL - 18
SP - 77
EP - 106
JO - Mechanics of Structures and Machines
JF - Mechanics of Structures and Machines
IS - 1
ER -