Stability and Oscillation of Elastic Systems
Stability and Oscillation of Elastic Systems

Author: I︠A︡kov Gilelevich Panovko

Publisher:

Published: 1973

Total Pages: 436

ISBN-13:

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Problems such as jumps in elastic systems, problems of aeroelasticity, problems of frictional self-oscillations, and self-synchronization are discussed. The stability of equilibrium shapes of elastic systems is examined. Problems of oscillations of linear systems are discussed, including systems with a fractional number of degrees of freedom as well as free oscillations of a cantilever in the field of centrifugal forces.

Dynamics of Pre-Strained Bi-Material Elastic Systems
Dynamics of Pre-Strained Bi-Material Elastic Systems

Author: Surkay D. Akbarov

Publisher: Springer

Published: 2015-02-11

Total Pages: 1018

ISBN-13: 331914460X

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This book deals with dynamics of pre-stressed or pre-strained bi-material elastic systems consisting of stack of pre-stressed layers, stack of pre-stressed layers and pre-stressed half space (or half plane), stack of pre-stressed layers as well as absolute rigid foundation, pre-stressed compound solid and hollow cylinders and pre-stressed sandwich hollow cylinders. The problems considered in the book relate to the dynamics of a moving and oscillating moving load, forced vibration caused by linearly located or point located time-harmonic forces acting to the foregoing systems. Moreover, a considerable part of the book relate to the problems regarding the near surface, torsional and axisymmetric longitudinal waves propagation and dispersion in the noted above bi-material elastic systems. The book carries out the investigations within the framework of the piecewise homogeneous body model with the use of the Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies.

Thermo-Dynamics of Plates and Shells
Thermo-Dynamics of Plates and Shells

Author: Jan Awrejcewicz

Publisher: Springer Science & Business Media

Published: 2007-02-15

Total Pages: 785

ISBN-13: 3540342621

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This monograph is devoted to nonlinear dynamics of thin plates and shells with thermosensitive excitation. Because of the variety of sizes and types of mathematical models in current use, there is no prospect of solving them analytically. However, the book emphasizes a rigorous mathematical treatment of the obtained differential equations, since it helps efficiently in further developing of various suitable numerical algorithms to solve the stated problems.

Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members
Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members

Author: Jan Awrejcewicz

Publisher: Springer Nature

Published: 2020-04-06

Total Pages: 615

ISBN-13: 303037663X

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From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Structural Dynamics
Structural Dynamics

Author: Henry R. Busby

Publisher: CRC Press

Published: 2017-08-15

Total Pages: 581

ISBN-13: 1498765971

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Structural Dynamics: Concepts and Applications focuses on dynamic problems in mechanical, civil and aerospace engineering through the equations of motion. The text explains structural response from dynamic loads and the modeling and calculation of dynamic responses in structural systems. A range of applications is included, from various engineering disciplines. Coverage progresses consistently from basic to advanced, with emphasis placed on analytical methods and numerical solution techniques. Stress analysis is discussed, and MATLAB applications are integrated throughout. A solutions manual and figure slides for classroom projection are available for instructors.