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In particular, three types of shells of revolution are considered. ... The asymptotic behaviour of the smallest eigenvalue in linear Koiter shell problems is studied, as the thickness parameter tends to zero. ... Introduction and problem description In considering the free vibrations of shells using the Koiter model (see [8, 6, 5] , for instance), one is led to study the following eigenvalue problem in variational ...doi:10.1016/j.aml.2007.10.030 fatcat:befyiqciqvda3gasmudo2pnco4
Based on the latter, the next chapter lists Mechanics of structures 91d:73044 the governing equations for membrane shells, and to complete this part of the book, some practical examples are given. ... The remain- ing chapters treat shell vibrations and stability in an introductory fashion with the purpose of illustrating these phenomena. ...
TSlinskii], On the dynamics of a system of rigid bodies (pp. 141- 149); W. T. Koiter and J. G. Simmonds, Foundations of shell theory (pp. 150-176); Marten T. ... The general orthogonality condition satisfied by the free-vibration | modes associated with the forced-motion problem is derived and used to solve the general field equations for finite micropolar elastic ...
bending of cylindrical shells in absence of loads, and for the linear and nonlinear theories of axisymmetric deformation of shells of revolution. ... Verma (Haryana) Koiter, W.T. 82c:73066 The intrinsic equations of shell theory with some applications. Mechanics today, Vol. 5, pp. 139-154, Pergamon, Oxford, 1980. ...
Doubly Curved Sandwich Shells Free vibrations of doubly curved shells of revolution were considered by Prusakov,” Il’gamov,”! and Suvernev.?? ... free- vibration problems, simple closed-form solutions can some- times be obtained for simple shells (i.e., cylindrical) subject to simple boundary conditions (i.e., freely supported). ...doi:10.2514/3.29830 fatcat:4zgzr4qimramvm4ad2hyvtajim
Zaid, Republic Aviation Corp (Paper No. 58—A-20) Limit Analysis of Symmetrically Loaded Thin Shells of Revolution,? by D.C. Drucker and R.T Shield, Brown Univ. ... Axially Symmetric Buckling of Shallow Spherical Shells Under External Pressure, by E Reiss NYU (Paper No. 58—A-14) On Influence Coefficients and Nonlinearity for Thin Shells of ——— by E. ...
relation for homogeneous and isotropic materials, thereby ensuring the volumetric locking-free characteristic of the shell model at theory level. ... The numerical performance of the shell finite element is analyzed comprehensively for natural frequency computations of clamped-free and simply supported, silicone, conoid, spherical and hyperboloid shells ... for h-but also for p-approximations in the free vibration analysis of various shells of revolution, independently of the thickness value. ...doi:10.1016/j.apm.2021.06.001 fatcat:znbst7fqt5frbi7ehvfwxdb7ba
of junctions appearing in complex multi-shell structures. ... Many shell structures used in modern technology consist of regular shell parts joined together along their common boundaries. ... ACKNOWLEDGMENT The research reported in this paper was supported by the National Centre of Science of Poland with the grant DEC -2012/05/D/ST8/02298. ...doi:10.1016/j.tws.2015.07.010 fatcat:flnrkh5wlrdmliplzrnrhge23m
The novelty of present work is to achieve closed-form solutions for critical hydrostatic pressures of EG orthotropic cylindrical shells resting on Pasternak elastic foundation based on FOSDT. ... The expressions for critical hydrostatic pressures of EG orthotropic cylindrical shells with and without an elastic foundation based on CST are obtained, in special cases. ... Tornabene (2011) investigated free vibrations of anisotropic doubly-curved shells and panels of revolution with a free-form meridian resting on Winkler-Pasternak elastic foundations. ...doi:10.12989/scs.2014.17.4.453 fatcat:7awessbjnzet7cqxvcty6uvo6u
Cheung et al. (1989) applied the spline finite strip method for the free vibration analysis of singly curved shell panel. ... Later Au and Cheung (1996) applied the isoparametric spline finite strip method for the free vibration and stability analysis of shells. ... Thus, for example one can get a wavelet spectrum instead of getting a frequency spectrum. For processing non stationary signals wavelets are very useful. ...doi:10.1088/1742-6596/305/1/012117 fatcat:smvxjowluzavpcx2mleforvetq
This paper addresses the free-vibration problem of multilayered shells with embedded piezoelectric materials. ... Closed-form solutions are given for the free-vibration problem of simply supported, orthotropic piezoelectric laminates. ... Closed spheres and general shells of revolution, for which the radius of curvature is a function of the distance from the axis are not accounted for. ...doi:10.1016/j.compstruc.2006.01.030 fatcat:ipncjowudvg7zbkzxqf52xlj6i
Transactions of the Architectural Institute of Japan
トロイダルシェルに関する基礎的研究 : Donnell 仮定・座屈荷重の検討
トロイダルシェルに関する基礎的研究 : Donnell 仮定・座屈荷重の検討
． ， " Nonlinear Tlleories for Thill General Equations Qf E 且 astic Stability for Thin Shells " ， Proc ． Symposium Qn the The ⊂ )ry of Shells， to honer L ． II ． ... ．： " Stubility o ∫ Shells of Revolution ： General Theory and Application to thc Torlls " ， ph ， D ． Dissertati ［ ⊃n ， Stanforfl Univ ． March ．1965 1g ) Sobel， L ． ... For thjs purpose ， the numerical results of some problems by means of Donnell theory are compared by other theories ， that is ， Sanders − Koiter Lheory and Love theory ． ...doi:10.3130/aijsaxx.335.0_22 fatcat:esvczghgo5d6tbtpeitcsasxo4
The load stiffness matrix, which is responsible for variation of load direction, is also derived for each strip and after assembling, global load stiffness matrix of the shell is formed. ... The load stiffness matrix, which is responsible for variation of load direction, is also throughout the deformation process. ... Tornabene et al. (2014) evaluated the free vibration of free-form doubly-curved shells made of functionally graded materials using higher-order equivalent single layer theories. ...doi:10.12989/scs.2016.22.2.301 fatcat:habtiftoabcrfnkyke3hjtggmm
The analog for thin shallow shells of von KármánÕs theory for large deflection of plates is used. ... The governing partial differential equations are expanded onto the natural modes of vibration of the shell. ... Acknowledgement The authors want to thank É ric Luminais for the scrupulous reading of the manuscript he has made. ...doi:10.1016/j.ijsolstr.2004.10.028 fatcat:fg5igraaqrg2fggj2hjccl7hze
Introduction to Linear Elasticity
As a textbook, it contains enough materal for a two-semester senior or graduate course on the theory and applications of thin plates and shells. ... Thin-walled structures in the form of plates and shells are encountered in many branches of technology, such as civil, mechanical, aeronautical, marine, and chemical engineering. ... The equations of free vibrations of thin elastic shells were first derived by Love  . ...doi:10.1007/978-1-4614-4833-4_8 fatcat:lcgj45efsvdmtnkyauluavskai
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