Strural Mechanices: Classical and Matrix Methods

MATRIX METHOD FOR ENGINEERING by LOUIS A. PIPES, University of California, Los Angeles This book develops matrix algebra and calculus ab initio, and traces the applications of these techniques to engineering problems in dynamics, electric circuit theory, elasticity, the theory of vibrations and their related fields. Beginning with a brief summary of the theory of determinants, the author investigates those properties of matrix algebra and matrix calculus which are essential in engineering application-definitions and operations.., eigenvalues and eigen-rectors of square matrices... and the calculus of matrices. Pursuing the methods of application, we follow through to detailed chapters such as: • Matrix Methods in the Theory of Elasticity • Matrix Methods in the Analysis of Structures • Applications of Matrices to Classical Mechanics • Applications of Matrices to Vibration Problems: The Steady-State Solution of The General n-Mesh Published 1962 420 pages DYNAMICS OF STRUCTURES by WALTER C. HURTY and MOSHE F. RUBINSTEIN, both of the University of California, Los Angeles Bringing together properties of structures and principles of dynamics, this book and their response to dynamic excitations. In a clear, unified manner, the authors cover the formulation and solution of problems lumped and distributed parameter systems. They also consider conservative and non-conservative systems with linear damping. Dynamics of Structures presents a thorough treatment of both the normal mode and the frequency response methods of dealing with the response to periodic and non-periodic excitations. This presentation is extended to the response of structures to random excitations such as gusts, blasts, and earthquakes, giving special attention to dynamic stress computations. The methods in the book are oriented toward the use of automatic means of computations. Published 1964