Numerical Analysis of Vibrations of Structures under Moving Inertial Load

Author:   Czesław I. Bajer ,  Bartłomiej Dyniewicz
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of the original 1st ed. 2012
Volume:   65
ISBN:  

9783662521984


Pages:   294
Publication Date:   23 August 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Numerical Analysis of Vibrations of Structures under Moving Inertial Load


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Overview

Moving inertial loads are applied to structures in civil engineering, robotics, and mechanical engineering. Some fundamental books exist, as well as thousands of research papers. Well known is the book by L. Frýba, Vibrations of Solids and Structures Under Moving Loads, which describes almost all problems concerning non-inertial loads. This book presents broad description of numerical tools successfully applied to structural dynamic analysis. Physically we deal with non-conservative systems. The discrete approach formulated with the use of the classical finite element method results in elemental matrices, which can be directly added to global structure matrices. A more general approach is carried out with the space-time finite element method. In such a case, a trajectory of the moving concentrated parameter in space and time can be simply defined. We consider structures described by pure hyperbolic differential equations such as strings and structures described by hyperbolic-parabolic differential equations such as beams and plates. More complex structures such as frames, grids, shells, and three-dimensional objects, can be treated with the use of the solutions given in this book.

Full Product Details

Author:   Czesław I. Bajer ,  Bartłomiej Dyniewicz
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2012
Volume:   65
Dimensions:   Width: 15.50cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.630kg
ISBN:  

9783662521984


ISBN 10:   3662521989
Pages:   294
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- Analytical solutions.- Semi-analytical methods.- Review of numerical methods of solution.- Classical numerical methods of time integration.- Space–time finite element method.- Space–time finite elements and a moving load.- The Newmark method and a moving inertial load.- Meshfree methods in moving load problems.- Examples of applications.

Reviews

From the reviews: The authors deal with many numerical methods to solve problems concerning vibrations of structures under moving inertial loads; semi-analytical methods are presented to better understand the differential equations that govern the mechanical problems. ... An appendix contains computer programs for some structures, and a rich bibliography (154 titles) follows. ... The book can be useful for many engineers, researchers and students, and represents a valuable contribution to the field. (Petre P. Teodorescu, Zentralblatt MATH, Vol. 1254, 2013)


From the reviews: “The authors deal with many numerical methods to solve problems concerning vibrations of structures under moving inertial loads; semi-analytical methods are presented to better understand the differential equations that govern the mechanical problems. … An appendix contains computer programs for some structures, and a rich bibliography (154 titles) follows. … The book can be useful for many engineers, researchers and students, and represents a valuable contribution to the field.” (Petre P. Teodorescu, Zentralblatt MATH, Vol. 1254, 2013)


From the reviews: The authors deal with many numerical methods to solve problems concerning vibrations of structures under moving inertial loads; semi-analytical methods are presented to better understand the differential equations that govern the mechanical problems. An appendix contains computer programs for some structures, and a rich bibliography (154 titles) follows. The book can be useful for many engineers, researchers and students, and represents a valuable contribution to the field. (Petre P. Teodorescu, Zentralblatt MATH, Vol. 1254, 2013)


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