Download or read book Theory of Multilayer Anisotropic Shells written by A. G. Teregulov and published by . This book was released on 1973 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report a system of basic equations was derived for thin shells consisting of a large number of homogeneous anisotropic layers, taking into account deformations of lateral shift. The following assumptions are made: normal stresses on areas parallel to the reference surface are negligible as compared with tangential stresses; normal deflection is constant throughout the thickness of the shell; and the law of stress distribution for lateral shift throughout the thickness of the shell is given.
Download or read book Asymptotic Theory Of Anisotropic Plates And Shells written by Lenser A Aghalovyan and published by World Scientific. This book was released on 2015-03-03 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a new type of boundary value problems, which is not governed by the classical Kirchhoff-Love assumptions. More general boundary value problems, in particular related to elastic foundations are also studied.The general asymptotic approach is illustrated by a number of particular problems for elastic and thermoelastic beams and plates. For the latter, the validity of derived approximate theories is investigated by comparison with associated exact solution. The author also develops an asymptotic approach to dynamic analysis of layered media composed of thin layers motivated by modeling of engineering structures under seismic excitation.
Download or read book Fragments of the Theory of Anisotropic Shells written by Serge? Aleksandrovich Ambart?sumi?an and published by World Scientific. This book was released on 1991 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: http://www.worldscientific.com/worldscibooks/10.1142/0937
Download or read book Analysis of Elliptical Multi layered Anisotropic Shells by Membrane Theory written by T. D. Lin and published by . This book was released on 1966 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Anisotropic Shells written by Sergeĭ Aleksandrovich Ambart͡sumi͡an and published by . This book was released on 1964 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis of Anisotropic Layered Cylindrical Shells written by Sujit Datta Roy and published by . This book was released on 1961 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2016-06-02 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief book presents solutions of stress-strain problems for a wide class of anisotropic inhomogeneous shells obtained by the refined model. Studying these problems results in severe computational difficulties due to partial differential equations with variable coefficients resulting from the constitutive relations of the original model. To solve this problem the book uses spline-collocation and discrete-orthogonalization methods. It analyses the influence of geometrical and mechanical parameters, of various kinds of boundary conditions, and of the loading conditions on the distributions of stress and displacement fields in shallow, spherical, conical, and noncircular cylindrical shells. The dependence of the stress-strain pattern on shell thickness variations is studied. The authors solve the problem also for the case of the thickness varying in two directions. They study how a variation in shell thickness influences the stress-strain state and consider noncircular cylindrical shells with elliptical and corrugated sections are considered. The results obtained during numerous calculations support the efficiency of the discrete-orthogonalization approach proposed in the monograph for solving static problems for anisotropic inhomogeneous shells when using the refined model.
Download or read book Vibration of Multi layered Anisotropic Cylindrical Shells written by Vincent X. Kunukkasseril and published by . This book was released on 1967 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study on the vibration of multi-layered anisotropic cylindrical shells is presented on the basis of Kirchhoff-Love theory of thin shells. The displacement equations of motion for multi-layered shells with layers having one plane of elastic symmetry parallel to the reference surface are developed. These equations are subsequently used to investigate flexural and extensional vibration of infinite and finite shells with anisotropic layers. Frequency equations for inextensional vibration of layered anisotropic shells are obtained by considering the kinetic and potential energies of the vibrating shell. Also, it is shown that the equations of the layered shell can be reduced to the case of a single layer helically stiffened shell. Numerical examples are considered for illustrating the significance of various types of vibration, as well as to show the effect of rotation of principal axes of stiffness of the layers on the frequencies. Frequencies for various types of vibration of a 3-layered shell and for helically stiffened shell are presented in the form of curves and tables. (Author).
Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2016-06-02 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two-partition books present essential approaches to numerical-analytical solutions of problems in the mechanics of shells with various structures and shapes based on refined and spatial models. Further, it examines the mechanical behavior of shallow, circular and noncircular, conical, spherical, and functionally graded shells obtained by the refined model. The book investigates the stress-strain state and free vibrations of finite-length cylinders in spatial formulation (3D elasticity theory). Further, it analyzes the influence of geometrical and mechanical parameters, of boundary conditions, and of the loading character on both the distributions of stress and displacement fields, and on the dynamical characteristics in these shells and cylinders. Lastly, it discusses in detail the validation of reliability for the results obtained by numerical calculations. As such, it complements the first part of the book, the volume Recent Developments in Anisotropic Heterogeneous Shell Theory: Applications of Refined and Three-dimensional Theory.
Download or read book Higher Gradient Materials and Related Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2019-11-04 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Theory Of Latticed Plates And Shells written by G I Pshenichnov and published by World Scientific. This book was released on 1993-03-17 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the theory of latticed shells as continual systems and describes its applications. It analyses the problems of statics, stability and dynamics. Generally, a classical rod deformation theory is applied. However, in some instances, more precise theories which particularly consider geometrical and physical nonlinearity are employed. A new effective method for solving general boundary value problems and its application for numerical and analytical solutions of mathematical physics and reticulated shell theory problems is described. A new method of solving the shell theory's nonlinear problems, substantially simplifying the existing algorithms is given. Questions of optimum design are discussed. Some of the findings are generalized and extended to edged and composite systems. The results of the solutions of a wide range of pressing problems are presented.
Download or read book Physics and Mechanics of New Materials and Their Applications written by Ivan A. Parinov and published by Springer Nature. This book was released on with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell Type Structures written by Liviu Librescu and published by Springer Science & Business Media. This book was released on 1975-11-30 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Anisotropic Shells written by Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n and published by . This book was released on 1961 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Behavior of Shells Composed of Isotropic and Composite Materials written by Jack R. Vinson and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shell structures are used in all phases of structures, from space vehicles to deep submergence hulls, from nuclear reactors to domes on sport arenas and civic buildings. With new materials and manufacturing methods, curved thin walled structures are being used increasingly. This text is a graduate course in the theory of shells. It covers shells of isotropic materials, such as metal alloys and plastics, and shells of composite materials, such as fibre reinforced polymer, metal or ceramic matrix materials. It provides the essential information for an understanding of the underlying theory, and solution of some of the basic problems. It also provides a basis to study the voluminous shell literature. Beyond being primarily a textbook, it is intended also for self study by practising engineers who would like to learn more about the behaviour of shells. The book has two parts: Part I deals with shells of isotropic materials. In this part the mathematical formulations are introduced involving curvilinear coordinates. The techniques of solutions and resulting behavior is compared to planar thin walled isotropic structures such as plates and beams. Part II then treats the behavior of shells, involving anisotropic composite materials, so widely used today. The analysis involves the complications due to the many elastic constants, effects of transverse shear deformation, thermal thickening and offer effects arising from the properties of composite materials.
Download or read book Mathematical Models of Higher Orders written by Vadim A. Krysko and published by Springer. This book was released on 2019-02-11 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.
