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Author: Don Akiba Halperin
Publisher:
ISBN:
Category : Elastic plates and shells (Engineering)
Languages : en
Pages : 156
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Book Description
Author: Don Akiba Halperin
Publisher:
ISBN:
Category : Elastic plates and shells (Engineering)
Languages : en
Pages : 156
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Book Description
Author: Raymond David Mindlin
Publisher: World Scientific
ISBN: 9812703810
Category : Technology & Engineering
Languages : en
Pages : 211
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Book Description
This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.
Author: I. H. Tai
Publisher:
ISBN:
Category :
Languages : en
Pages : 158
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Book Description
The investigation extends the method of Edge-Functions, previously employed only for elastostatic and electrostatic considerations, to the determination of natural frequencies and associated mode shapes of free vibration of thin elastic plates with a variety of boundary conditions. The Edge-Function technique essentially associates an independent coordinate system with every edge of the plate, and for every edge employs functions (satisfying the governing plate vibration equations) that rapidly decay with increasing distance from the plate boundary. Appropriate superposition of solutions stemming from all edges of the plate leads to an approximate representation of the time-dependent deflection surface. Results obtained by the elastodynamic Edge-Function investigation are shown to be in excellent agreement with existing results for natural frequencies and mode shapes of (a) rectangular plates subject to a wide variety of boundary conditions, including the case of a rectangular cantilever plate, and (b) parallelogram shaped plates with simply supported edges. (Modified author abstract).
Author: Pat Garner Hedgcoxe
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 220
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Book Description
Author:
Publisher:
ISBN:
Category : Union catalogs
Languages : en
Pages : 632
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Book Description
Includes entries for maps and atlases.
Author:
Publisher:
ISBN:
Category : Shock (Mechanics)
Languages : en
Pages : 108
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Book Description
Author: Frank Shih-jai Chou
Publisher:
ISBN:
Category : Vibration
Languages : en
Pages : 86
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Book Description
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 636
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Book Description
Author: L. G. Jaeger
Publisher: Elsevier
ISBN: 1483147002
Category : Technology & Engineering
Languages : en
Pages : 119
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Book Description
Elementary Theory of Elastic Plates deals with plate theory, particularly on the elastic behavior of initially flat thin plates subjected to loads, producing deflexions. This book discusses rectangular plates and circular plates subjected to different types of load conditions. This text describes the bending moment and curvature of beams, and gives the formula of principal axes, where the location of a neutral axis that experiences zero stress and strain, can be found. This book also notes how calculations can show small or negligible deflexions. The text discusses Possion's ratio effect and the Mohr's circle relationship. This text analyzes the various loads acting on different parts of the rectangular plate using the Navier method; the Levy's method is taken up when considerations are on other forms of boundary support on the rectangular plate. This book then addresses the circular plate that experiences bending moments and curvatures when it is placed under radially symmetric loads. This text explains the equation that is applicable in a radially symmetric case. This book also addresses understanding approximations of energy in stability problems when there is bending and twisting as shown in a strut with a certain thickness, radial length of the arms, and length of the strut. Engineers, physicists, architects, and designers of industrial equipment subject to heavy loads will appreciate the information found in this book.
Author: Hideo Takabatake
Publisher:
ISBN: 9789811300875
Category : Elastic plates and shells
Languages : en
Pages : 344
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Book Description
This book presents simplified analytical methodologies for static and dynamic problems concerning various elastic thin plates in the bending state and the potential effects of dead loads on static and dynamic behaviors. The plates considered vary in terms of the plane (e.g. rectangular or circular plane), stiffness of bending, transverse shear and mass. The representative examples include void slabs, plates stiffened with beams, stepped thickness plates, cellular plates and floating plates, in addition to normal plates. The closed-form approximate solutions are presented in connection with a groundbreaking methodology that can easily accommodate discontinuous variations in stiffness and mass with continuous function as for a distribution. The closed-form solutions can be used to determine the size of structural members in the preliminary design stages, and to predict potential problems with building slabs intended for human beings' practical use.
