Vibrations of Shells and Rods
Vibrations of Shells and Rods

Author: Khanh C. Le

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 415

ISBN-13: 3642599117

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Intended for engineers who deal with vibrations of rods and shells in their everyday practice but who also wish to understand the subject from the mathematical point-of-view, the results contained here concerning high-frequency vibrations may be new to many. The book serves equally well as an advanced textbook, while remaining of interest to mathematicians who seek applications of the variational and asymptotic methods in elasticity and piezoelectricity. Only a minimum knowledge in advanced calculus and continuum mechanics is assumed on the part of the reader.

Vibrations of Shells and Plates
Vibrations of Shells and Plates

Author: Werner Soedel

Publisher: CRC Press

Published: 2004-08-11

Total Pages: 594

ISBN-13: 0203026306

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With increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today‘s engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its

Vibrations of Thick Cylindrical Structures
Vibrations of Thick Cylindrical Structures

Author: Hamid R. Hamidzadeh

Publisher: Springer Science & Business Media

Published: 2009-10-22

Total Pages: 201

ISBN-13: 0387755918

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Due to strong potential applications and more demanding requirements imposed upon long and thick cylindrical structures, there has been increasing research and development activities during recent years in the field of vibration and passive vibration control of these types of structures. An important step in the study of cylindrical structures is the determination of their vibration modal characteristics. This modal information plays a key role in the design and vibration suppression of these structures when subjected to dynamic excitations. Most reported studies on the dynamic response of cylindrical structures have been restricted to the application of the shell theories. These theories are based on a number of simplifying assumptions. The most important of which is, the considered shell must be relatively thin to assume constant stresses within the cylinder. Therefore, due to this limitation, shell theories are inadequate to accurately describe all possible vibration modes in thick cylindrical structures. The primary scope of this book is to address these problems by applying the theory of elasto-dynamics.

Vibrations of Shells and Rods
Vibrations of Shells and Rods

Author: Khanh Chau Le

Publisher: Springer

Published: 2012-01-05

Total Pages: 423

ISBN-13: 9783642599125

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Intended for engineers who deal with vibrations of rods and shells in their everyday practice but who also wish to understand the subject from the mathematical point-of-view, the results contained here concerning high-frequency vibrations may be new to many. The book serves equally well as an advanced textbook, while remaining of interest to mathematicians who seek applications of the variational and asymptotic methods in elasticity and piezoelectricity. Only a minimum knowledge in advanced calculus and continuum mechanics is assumed on the part of the reader.

A Theory of Latticed Plates and Shells
A Theory of Latticed Plates and Shells

Author: G. I. Pshenichnov

Publisher: World Scientific

Published: 1993

Total Pages: 332

ISBN-13: 9789810210496

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The book presents the theory of latticed shells as continual systems and describes its applications. It analyses the problems of statics, stability and dynamics. Generally, a classical rod deformation theory is applied. However, in some instances, more precise theories which particularly consider geometrical and physical nonlinearity are employed. A new effective method for solving general boundary value problems and its application for numerical and analytical solutions of mathematical physics and reticulated shell theory problems is described. A new method of solving the shell theory's nonlinear problems, substantially simplifying the existing algorithms is given. Questions of optimum design are discussed. Some of the findings are generalized and extended to edged and composite systems. The results of the solutions of a wide range of pressing problems are presented.

Cosserat Theories: Shells, Rods and Points
Cosserat Theories: Shells, Rods and Points

Author: M.B. Rubin

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 496

ISBN-13: 9401593795

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This book presents a unified hierarchical formulation of theories for three-dimensional continua, two-dimensional shells, one-dimensional rods, and zero-dimensional points. It allows readers with varying backgrounds easy access to fundamental understanding of these powerful Cosserat theories.

Vibration of Shells
Vibration of Shells

Author: Arthur W. Leissa

Publisher:

Published: 1973

Total Pages: 438

ISBN-13:

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The vibrational characteristics and mechanical properties of shell structures are discussed. The subjects presented are: (1) fundamental equations of thin shell theory, (2) characteristics of thin circular cylindrical shells, (3) complicating effects in circular cylindrical shells, (4) noncircular cylindrical shell properties, (5) characteristics of spherical shells, and (6) solution of three-dimensional equations of motion for cylinders.