Qualitative Theory in Structural Mechanics

Qishen Wang, Dajun Wang, Beichang (Bert) He, et al.

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Springer Singapore img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Maschinenbau, Fertigungstechnik

Beschreibung

This book focuses on the qualitative theory in structural mechanics, an area that remains underdeveloped. The qualitative theory mainly deals with the static deformation and vibrational modes of linear elastic structures, and cover subjects such as qualitative properties and the existence of solutions.

Qualitative properties belong to one type of structure, are at the system level and of clear regularity, and often result from analytical derivation and logical reasoning. As for the existence of solutions, it addresses a fundamental issue in structural mechanics, and has far-reaching implications for engineering applications.

A better understanding of qualitative properties can assist in both numerical computation and experimental studies. It also promotes the development of better dynamic designs for structures. At the same time, a sound grasp of the existence of solutions and related subjects can aid in quantitative analysis, and help researchers establish the theoretical background essential to their work. 

This book is among the few that is dedicated exclusively to the qualitative theory in structural mechanics and systematically introduces the important and challenging area to a wide audience, including graduate students in engineering.

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Schlagwörter

Number of nodes, Finite element model of a beam, Qualitative structural analysis, Generalized solution, Number of independent modes, Assembly structures, Oscillatory properties, Vibration control, Structural analysis textbook, Qualitative properties of vibration, Solutions in structural theories, Displacement mode shape