Theory of Matrix Structural Analysis
This pioneering aerospace engineering text belongs on the shelf of every aerospace and structural engineering graduate student and professional engineer. Originally published in 1968, the treatment remains a valuable guide, tracing each procedure in a clear, step-by-step fashion and employing minimal mathematical rigor in its examples.
The text begins with an overview of matrix methods and their application to the structural design of modern aircraft and aerospace vehicles. Subsequent chapters cover the basic equations of elasticity, energy theorems, structural idealization, Castigliano's theorem, derivation of stiffness matrices from flexibility, and constant-shear-flow panels. Additional subjects include a comparison of force and displacement methods, analysis of substructures, structural synthesis, and nonlinear structural analysis. Abundant end-of-chapter supplements provide materials for classroom use.
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Aeron AFFDL TR Aircraft applied ASCE assumed Astron augmented matrix bar element beam bending boundary displacements calculated Conf constant constraints coordinate system corresponding damping deﬁned deﬂections deformations degrees of freedom denoted derived diagonal diagonal matrix direction due to unit dynamic eigenvalues elastic element forces equation of motion equations of equilibrium equivalent mass matrix external forces external loads ﬁnd ﬁrst Flight Dynamics force systems forces F frequencies function given by Eq Hence idealization Inst integration linear linearly Matrix Analysis matrix equation matrix force method matrix inverse Matrix Methods Struct Mech methods of structural mode shapes modes node nonlinear obtained panel pin-jointed bar Proc rectangular plate redundant represents rigid-body degrees shear shown in Fig solution speciﬁed square matrix statically determinate stiffness matrix strain energy stress distribution Structural Analysis structural elements submatrices Substituting Eq Symmetric tetrahedron thermal transformation matrix truss vibration virtual displacements Wright-Patterson Air Force