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Semi-inverse method in nonlinear pro...

Yudin, Anatoly S.

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Semi-inverse method in nonlinear problems of axisymmetric shells forming

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Semi-inverse method in nonlinear problems of axisymmetric shells forming/ Anatoly S. Yudin, Dmitry V. Shchitov.
作者:	Yudin, Anatoly S.
其他作者:	Shchitov, Dmitry V.
出版者:	London :World Scientific Publishing Europe, : c2021.,
面頁冊數:	1 online resource (xv, 230 p.)
內容註:	About this book -- Preface -- About the authors -- Introduction -- Generalization of e reissner's equations for the problem of shells of rotation deformation -- Large plastic deformation of shells of rotation -- Membranes in systems for the protection of equipment from destruction by excessive pressure -- Stretching of dome shell from a circular plate -- Solving problems of changing the form of some shells of rotation -- About containers for liquid cargo transportation -- Jack systems in construction -- Equations for axisymmetric shells calculating within the elasticity limits -- Conclusion -- References -- Index.
標題:	Thin-walled structures - Mathematical models. -
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/q0289#t=toc
ISBN:	9781786349828

Semi-inverse method in nonlinear problems of axisymmetric shells forming
Yudin, Anatoly S.

Semi-inverse method in nonlinear problems of axisymmetric shells forming[electronic resource] /Anatoly S. Yudin, Dmitry V. Shchitov. - London :World Scientific Publishing Europe,c2021. - 1 online resource (xv, 230 p.)

Includes bibliographical references and index.

About this book -- Preface -- About the authors -- Introduction -- Generalization of e reissner's equations for the problem of shells of rotation deformation -- Large plastic deformation of shells of rotation -- Membranes in systems for the protection of equipment from destruction by excessive pressure -- Stretching of dome shell from a circular plate -- Solving problems of changing the form of some shells of rotation -- About containers for liquid cargo transportation -- Jack systems in construction -- Equations for axisymmetric shells calculating within the elasticity limits -- Conclusion -- References -- Index.

"Currently, solving problems based on designing and calculating complex structures with significant nonlinearity usually require: Expensive and difficult to learn software packages High-performance computers Spare time as calculations take a long time to complete Semi-Inverse Method in Nonlinear Problems of Axisymmetric Shells Forming provides an alternative method for solving problems with deep geometric and physical nonlinearity. Easily implemented on normal PCs, this method is fast and creative. The reader can use integrated packages of the MathCad variety that implement "live mathematics". Such packages give the reader the freedom to create programmes for themselves. In the proposed method, a function for molding pressure is constructed, which is output to a stationary value by varying the shape parameters and edge reactions. The final shape of the shell is given using analytical approximations. Applications of the method are applied to real shell structures. Forming spherical and ellipsoidal shells (flapping membranes), correcting the shape of the bottom of a container for liquid cargo, modelling the operation of a flat Jack, and converting a cylindrical shell into a barrel-shape are also considered"--Publisher's website.

Mode of access: World Wide Web.

ISBN: 9781786349828Subjects--Topical Terms:

1982365
Thin-walled structures
--Mathematical models.

LC Class. No.: TA660.T5 / Y83 2021

Dewey Class. No.: 624.1/776201515357

Semi-inverse method in nonlinear problems of axisymmetric shells forming
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505 0 $a About this book -- Preface -- About the authors -- Introduction -- Generalization of e reissner's equations for the problem of shells of rotation deformation -- Large plastic deformation of shells of rotation -- Membranes in systems for the protection of equipment from destruction by excessive pressure -- Stretching of dome shell from a circular plate -- Solving problems of changing the form of some shells of rotation -- About containers for liquid cargo transportation -- Jack systems in construction -- Equations for axisymmetric shells calculating within the elasticity limits -- Conclusion -- References -- Index.
520 $a "Currently, solving problems based on designing and calculating complex structures with significant nonlinearity usually require: Expensive and difficult to learn software packages High-performance computers Spare time as calculations take a long time to complete Semi-Inverse Method in Nonlinear Problems of Axisymmetric Shells Forming provides an alternative method for solving problems with deep geometric and physical nonlinearity. Easily implemented on normal PCs, this method is fast and creative. The reader can use integrated packages of the MathCad variety that implement "live mathematics". Such packages give the reader the freedom to create programmes for themselves. In the proposed method, a function for molding pressure is constructed, which is output to a stationary value by varying the shape parameters and edge reactions. The final shape of the shell is given using analytical approximations. Applications of the method are applied to real shell structures. Forming spherical and ellipsoidal shells (flapping membranes), correcting the shape of the bottom of a container for liquid cargo, modelling the operation of a flat Jack, and converting a cylindrical shell into a barrel-shape are also considered"--Publisher's website.
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650 0 $a Elastic plates and shells $x Mathematical models. $3 1245730
650 0 $a Nonlinear functional analysis. $3 576798
650 0 $a Functions, Inverse. $3 1566734
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