Titlebook: Linear Dynamical Systems; Mircea D. Grigoriu Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Spr

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Mircea D. GrigoriuFollows a coherent introduction of topics from the physics, constitutive equations, and general formulations and solutions of problems of practical interest through special cases of these problems obt

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https://doi.org/10.1007/978-3-030-64552-6dynamical mechanical systems; structural dynamics; industrial aerodynamics; dynamics; wind engineering; E

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Introduction,ystems subjected to dynamic actions, e.g., wind, earthquakes, aerodynamic forces, road roughness, and other inputs. It provides a comprehensive rigorous discussion on the dynamics of linear systems in clear, concise terms.

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Eigenvalue Problem,Solutions of systems of linear algebraic equations are briefly reviewed and used to introduce the eigenvalue problem for square matrices. Properties of the eigenvalues and eigenvectors for symmetric real-valued matrices are first considered. These properties are then extended to real-valued nonsymmetric matrices.

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Multi-Degree of Freedom (MDOF) Systems,We consider systems with finite numbers . > 1 of degrees of freedom. Systems with infinite numbers of degrees of freedom, referred to as continuous systems, are discussed in the subsequent chapter. It will be seen that the methods for solving MDOF and continuous systems are conceptually similar and involve three steps.

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