Qualitative Theory in Structural Mechanics
Qualitative Properties and Existence of Solutions
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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.
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.
Systematically introduces readers to several characteristics of the static deformation and vibrational modes associated with continuous systems and finite element models of bars and beams Reveals the qualitative properties of static deformation and vibrational modes associated with continuous systems of repetitive structures by applying the theory of differential equations Develops a unified proof for the existence of solutions of static deformation and vibrational modes in structural theories of various structures Is the first book exclusively dedicated to qualitative theories in structural mechanics with elaborated derivation and examples for the equations and theorems
Autor*in
Dajun Wang
Themen in »Qualitative Theory in Structural Mechanics«
Assembly structures Displacement mode shape Solutions in structural theories Finite element model of a beam Generalized solution Number of independent modes Number of nodes Oscillatory properties Vibration control Qualitative structural analysis Structural analysis textbook Qualitative properties of vibration