Academic literature on the topic 'Theory of shells'

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Journal articles on the topic "Theory of shells"

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Tarn, Jiann-Quo, Yung-Ming Wang, and Shi-Horng Chang. "Theory of Multilayered Anisotropic Shells Based on an Asymptotic Variational Formulation." Journal of Mechanics 14, no. 4 (1998): 173–82. http://dx.doi.org/10.1017/s1727719100000204.

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ABSTRACTA general theory for multilayered anisotropic elastic shells is developed in an asymptotic variational framework of 3-D elasticity. The generic shell continuum considered is heterogeneous through the thickness. It is shown that the classical laminated shell theory based on Love's assumption arises naturally as the first-order approximation to the 3-D theory. Higher-order corrections can be determined by solving the 2-D shell equations hierarchically. The associated edge conditions at each level of approximation are derived. Various types of shells such as shells of revolution, conical
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Yang, Yeong-Bin, and Jae-Hoon Kang. "Comparisons of Paraboloidal Shells and Sinusoidal-Shaped Shells in Natural Frequencies." Volume 24, No 3, September 2019 24, no. 3 (2019): 451–57. http://dx.doi.org/10.20855/ijav.2019.24.312.

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Natural frequencies and mode shapes are obtained for a sinusoidal-shaped shell of revolution by using the Ritz method from a three-dimensional (3-D) analysis instead of a mathematically two-dimensional (2-D) thin shell theory or high order thick shell theory. The present analysis uses circular cylindrical coordinates instead of 3-D shell coordinates, which have been used in traditional shell analyses. Convergence studies can analyze the first five frequencies to four-digit exactitude. Results are given for a variety of shallow and deep sinusoidal-shaped shells with different boundary condition
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Yang, Yeong-Bin, and Jae-Hoon Kang. "Comparisons of Paraboloidal Shells and Sinusoidal-Shaped Shells in Natural Frequencies." June 2019 24, no. 2 (2019): 451–57. http://dx.doi.org/10.20855/ijav.2019.24.31276.

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Natural frequencies and mode shapes are obtained for a sinusoidal-shaped shell of revolution by using the Ritz method from a three-dimensional (3-D) analysis instead of a mathematically two-dimensional (2-D) thin shell theory or high order thick shell theory. The present analysis uses circular cylindrical coordinates instead of 3-D shell coordinates, which have been used in traditional shell analyses. Convergence studies can analyze the first five frequencies to four-digit exactitude. Results are given for a variety of shallow and deep sinusoidal-shaped shells with different boundary condition
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Ovesy, Hamid Reza, and Jamshid Fazilati. "Lay-Up Effects on the Dynamic Instability of Moderately Thick Stiffened Curved Panels." Applied Mechanics and Materials 152-154 (January 2012): 1477–82. http://dx.doi.org/10.4028/www.scientific.net/amm.152-154.1477.

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The dynamic instability of cylindrical shell panels having longitudinal stiffener is studied by using the developed finite strip method (FSM). The method is formulated using the third order shear deformation shell's theory of Reddy's form and the Koiter-Sanders theory for cylindrical shells is implemented. The lay-up effects of skin as well as the stiffener are investigated.
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Marwah Ghazi Kareem, Saddam Khalsan Al-Raheem, sadiq emad sadiq, and Luay Sadeq Alansari. "Review of research on the vibration and buckling of functionally graded spherical shells." International Journal of Science and Research Archive 13, no. 2 (2024): 2170–86. https://doi.org/10.30574/ijsra.2024.13.2.2327.

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Spherical shells are important components in many aerospace and engineering structures. A functionally graded material (FGM) spherical shell can have its material distribution varied with the change of the radius direction, which can enhance the bearing capacity and the stability of the thin-walled shells. However, due to the special geometric characteristics of the spherical shell, the simplicity of its geometry will lead to great complexity in its vibration and buckling analysis processes. This paper mainly reviews the previous analytical and numerical research on the vibration and buckling
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Soldatos, K. P. "Nonlinear Analysis of Transverse Shear Deformable Laminated Composite Cylindrical Shells—Part II: Buckling of Axially Compressed Cross-Ply Circular and Oval Cylinders." Journal of Pressure Vessel Technology 114, no. 1 (1992): 110–14. http://dx.doi.org/10.1115/1.2929000.

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A linearized transverse shear deformable shell theory presented in a companion paper is confined to consideration with the buckling problem of axially compressed, cross-ply laminated noncircular cylindrical shells. Based on a solution of its governing differential equations, obtained for simply supported shells by means of Galerkin’s method, a study of the buckling problem of axially compressed circular and oval cylindrical shells, of a regular antisymmetric cross-ply laminated arrangement, is presented. Moreover, by comparing the numerical results obtained with corresponding results based on
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Wen, P. H., and Ferri Aliabadi. "On the Theory of Functionally Graded Moderately Thick Composite Shells." Journal of Multiscale Modelling 05, no. 03 (2013): 1350012. http://dx.doi.org/10.1142/s1756973713500121.

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In this paper, exact solutions for double curved functionally graded shells subjected to static and dynamic distributed loads are presented for the first time. Shear deformable shell theory is used and the governing equations for the laminated and functionally graded shells with respect to the middle surface are presented in the Laplace transform domain. The exact solutions of the laminated and functionally graded shells should serve as benchmark solutions for numerical methods.
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Li, Bing Ru, Xuan Yin Wang, Hui Liang Ge, and Yue Peng Jiang. "Study on Applicability of Sound Radiation Characteristics of Thin Finite Length Cylindrical Shells Using Wave Propagation Approach." Applied Mechanics and Materials 190-191 (July 2012): 1325–30. http://dx.doi.org/10.4028/www.scientific.net/amm.190-191.1325.

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Based on Donnell’s thin shell theory and basic equations, the wave propagation method is discussed here in detail, which is used to investigate the vibration and sound radiation characteristics of thin finite length circular cylindrical shells and ring stiffened shells under various boundary conditions. The effects of boundary conditions, mode truncation, shell’s length, thickness and rings on the acoustic radiation are explored. It is shown that the wave propagation method is more effective for the long cylindrical shell, and the mode truncation can satisfy the calculation accuracy. The concl
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Li, Bing Ru, Yue Peng Jiang, Xuan Yin Wang, and Hui Liang Ge. "Vibro-Acoustics Characteristics of Non-Uniform Ring Stiffened Cylindrical Shells Using Wave Propagation Approach." Advanced Materials Research 655-657 (January 2013): 562–67. http://dx.doi.org/10.4028/www.scientific.net/amr.655-657.562.

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Based on Donnell’s thin shell theory and basic equations, the wave propagation method is discussed here in detail, which is used to investigate the vibration and sound radiation characteristics of non-uniform ring stiffened cylindrical shells under various boundary conditions. The structure damp effects of cylindrical shells are investigated and the ring ribs were considered very narrow, and the rib forces are considered in radial direction. The conclusion are drawn that with the structural loss factor changing large, the whole pressure level are changed little, but the peak of resonance are s
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Birman, V. "Extension of Vlasov’s Semi-membrane Theory to Reinforced Composite Shells." Journal of Applied Mechanics 59, no. 2 (1992): 462–64. http://dx.doi.org/10.1115/1.2899547.

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Governing equations for the statics and dynamics of reinforced composite shells are developed based on Vlasov’s semi-membrane shell theory. These equations have closed-form solutions illustrated for buckling and free vibration problems. The buckling solution converges to the known result for unstiffened isotropic shells.
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Dissertations / Theses on the topic "Theory of shells"

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Zhao, Jiabin. "Natural theory of nonlinear shells." Thesis, McGill University, 1996. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=40299.

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This thesis is devoted to the analysis of nonlinear shell problems. First, using the tangential differential calculus and the oriented boundary distance function, we derive two intrinsic nonlinear models for thin/shallow shells made up of a Saint Venant-Kirchhoff material or a homogeneous, isotropic, elastic material. The models extend the natural theory of plates to thin/shallow shells. Next, we prove the regularity property for the solutions of the linear model, and differentiability of the nonlinear operators associated with the nonlinear models in the given spaces. Finally, we prove existe
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McDaniel, James Gregory. "A new higher-order shell theory for vibration and viscoelastically-coated circular cylindrical shells." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/15825.

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Chang, Jin-Der. "Theory of thick, laminated composite shallow shells /." The Ohio State University, 1992. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487779914824542.

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Palmerio, Ariovaldo Felix. "On a moderate rotation theory for anisotropic shells." Diss., Virginia Polytechnic Institute and State University, 1988. http://hdl.handle.net/10919/82630.

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The present work discusses a new moderate rotation theory for anisotropic shells, proposed by Schmidt and Reddy. All aspects of the derivations are explicitly covered and a finite element formulation of the theory is developed for the solution of test cases. Specific forms of the equations for rectangular plates, cylindrical and spherical shells are derived and the respective finite elements are implemented in a computer code. In order to compare the results, two other theories are implemented: a refined von Karman type shell theory and a shell theory proposed by Librescu. A finite element c
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Kassegne, Samuel Kinde. "Layerwise theory for discretely stiffened laminated cylindrical shells." Diss., This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-07282008-134249/.

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Chebili, Rachid. "The boundary support of shells." Thesis, University of Bath, 1991. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279412.

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Gerhard, Craig Steven. "Finite element analysis of geodesically stiffened cylindrical composite shells using a layerwise theory." Diss., This resource online, 1994. http://scholar.lib.vt.edu/theses/available/etd-05222007-091415/.

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Dai, Zhifeng. "Pore-water convection in spherical shells : perturbation theory and numerical simulations." Thesis, University of Exeter, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.479213.

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Randall, Richard John. "Fluid-structure interaction of submerged shells." Thesis, Brunel University, 1990. http://bura.brunel.ac.uk/handle/2438/5446.

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A general three-dimensional hydroelasticity theory for the evaluation of responses has been adapted to formulate hydrodynamic coefficients for submerged shell-type structures. The derivation of the theory has been presented and is placed in context with other methods of analysis. The ability of this form of analysis to offer an insight into the physical behaviour of practical systems is demonstrated. The influence of external boundaries and fluid viscosity was considered separately using a flexible cylinder as the model. When the surrounding fluid is water, viscosity was assessed to be signifi
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Newman, Michael Geoffery. "Mathematical modelling of creep in weldments using the Cosserat theory of plates and shells." Thesis, University of Southampton, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239654.

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Books on the topic "Theory of shells"

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Chatterjee, Binoy Kumar. Theory and design of concrete shells. Chapman and Hall, 1988.

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Dym, Clive L. Introduction to the theory of shells. Hemisphere Pub. Corp., 1990.

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Vekua, Ilʹi͡a Nestorovich. Shell theory, general methods of construction. Pitman Advanced Pub. Program, 1986.

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Libai, A. The nonlinear theory of elastic shells. 2nd ed. Cambridge University Press, 1998.

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Pál, Csonka. Theory and practice of membrane shells. Akadémiai Kiadó, 1987.

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Ciarlet, Philippe G. Mathematical Elasticity: Theory of Shells. Society for Industrial and Applied Mathematics, 2021. http://dx.doi.org/10.1137/1.9781611976823.

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Mittelstedt, Christian. Theory of Plates and Shells. Springer Berlin Heidelberg, 2023. http://dx.doi.org/10.1007/978-3-662-66805-4.

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Ambartsumian, Sergey A. Micropolar Theory of Shells and Plates. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71326-3.

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Jawad, Maan H. Theory and design of plate and shell structures. Chapman & Hall, 1994.

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Pshenichnov, G. I. A theory of latticed plates and shells. World Scientific, 1993.

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Book chapters on the topic "Theory of shells"

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Tzou, H. S. "Piezoelectric Shell Vibration Theory." In Piezoelectric Shells. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1783-8_2.

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Ugural, Ansel C. "Plate-Bending Theory." In Plates and Shells. CRC Press, 2017. http://dx.doi.org/10.1201/9781315104621-5.

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Eslami, Mohammad Reza. "Theory of Shells." In Thermal Stresses in Plates and Shells. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-49915-9_4.

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Chau, K. T. "Theory of Shells." In Applications of Differential Equations in Engineering and Mechanics. CRC Press, 2019. http://dx.doi.org/10.1201/9780429470646-3.

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Sitenko, Alex, and Victor Tartakovskii. "Shells in Nuclei." In Theory of Nucleus. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5772-8_4.

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Gould, Phillip L. "Membrane Theory." In Analysis of Shells and Plates. Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-3764-8_4.

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Doghri, Issam. "Theory of thin shells." In Mechanics of Deformable Solids. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04168-0_11.

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Eschenauer, H., N. Olhoff, and W. Schnell. "Membrane theory of shells." In Applied Structural Mechanics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59205-8_12.

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Eschenauer, H., N. Olhoff, and W. Schnell. "Theory of shallow shells." In Applied Structural Mechanics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59205-8_14.

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Mittelstedt, Christian. "Basics of Elasticity Theory." In Theory of Plates and Shells. Springer Berlin Heidelberg, 2023. http://dx.doi.org/10.1007/978-3-662-66805-4_1.

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Conference papers on the topic "Theory of shells"

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"Bending Theory." In SP-110: Hyperbolic Paraboloid Shells. American Concrete Institute, 1988. http://dx.doi.org/10.14359/2808.

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Fujita, Katsuhisa, and Makoto Katou. "Annular Axial Flow-Induced Vibration of Cylindrical Shells by Flu¨gge’s Shell Theory." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93676.

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The unstable phenomena of thin cylindrical shells subjected to annular axial flow are investigated. In this paper, the analytical model is composed of an elastic axisymmetric shell and a rigid one which are arranged co-axially. Considering the fluid structure interaction between shells and fluid flowing through an annular narrow passage, the coupled equation of motion is derived using Flu¨gge’s shell theory and Navier-Stokes equations. The unstable phenomena of thin cylindrical shells are clarified by using the root locus based on the complex eigenvalue analysis. The numerical parameter studie
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Han, S. L., and O. A. Bauchau. "Three-Dimensional Non-Linear Shell Theory for Flexible Multibody Dynamics." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47163.

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In flexible multibody systems, many components are approximated as shells. Classical shell theories, such as Kirchhoff or Reissner-Mindlin shell theory, form the basis of the analytical development for shell dynamics. While such approach is capable of capturing the kinetic energy of the system accurately, it cannot represent the strain energy adequately. For instance, it is well known from three-dimensional elasticity theory that the normal material line will warp under load for laminated composite shells, leading to three-dimensional deformations that generate complex stress states. To overco
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Fujita, Katsuhisa, and Makoto Kato. "Unstable Vibration of Simply Supported Thin Cylindrical Shells Subjected to Axial Leakage Flows Using Flu¨gge’s Shell Theory." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59494.

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The unstable vibration of thin cylindrical shells subjected to axial leakage flows is investigated in this paper. Considering the fluid structure interaction between shells and fluids flowing through a narrow passage, the coupled equation of motion between shells and flowing fluids is derived using the Flu¨gge’s shell theory and the Navier-Stokes equation. Focusing on the vibrational characteristics of a thin cylindrical shell with both simply-supported ends, that are the axisymmetric vibration, the lateral vibration and the circumferential vibration, the unstable phenomenon of thin cylindrica
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Kataoka, Shunji, and Takahiro Hida. "Evaluation of Stress in Vibrating Cylindrical Shells due to Acoustic Loading Based on Theory of Shells." In ASME 2016 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/pvp2016-63383.

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Acoustically induced vibration (AIV) is recognized as a vibration of piping systems caused by the acoustic loading at the downstream of the pressure reducing devices. For decades several industrial practices which are derived from past experiences, have been applied for the design of piping system, however it is known that the practices includes uneven design margins. Due to the increase of the large capacity reducing devices, the demands of the development of reasonable screening and design method for AIV are increasing. A detailed assessment of fatigue life using finite element analysis has
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Eiroa, Ernesto F., and Claudio Simeone. "Thin shells in Einstein-Born-Infeld theory." In TOWARDS NEW PARADIGMS: PROCEEDING OF THE SPANISH RELATIVITY MEETING 2011. AIP, 2012. http://dx.doi.org/10.1063/1.4734440.

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Singer, Josef, and Tanchum Weller. "Instability of conical shells - Theory versus experiment." In 41st Structures, Structural Dynamics, and Materials Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-1386.

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Tzou, H. S., and J. P. Zhong. "Theory on Hexagonal Symmetrical Piezoelectric Thick Shells Applied to Smart Structures." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0179.

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Abstract Smart piezoelectric structures, conventional passive materials integrated with piezoelectric sensors, actuators and control electronics, have great potentials in many engineering applications. This paper is devoted to a new theoretical development of generic piezoelectric shell distributed systems. System electromechanical dynamic equations, three translational coordinates and two rotatory coordinates, and boundary conditions, electric and mechanical, for a thick piezoelectric shell continuum with symmetrical hexagonal structure (Class C6v = 6mm) are derived using Hamilton’s principle
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Amabili, M., and Ye Kurylov. "Nonlinear Vibrations of Cantilever Circular Cylindrical Shells." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28484.

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Only experimental studies are available on large amplitude vibrations of cantilever shells. In the present paper, large-amplitude nonlinear vibrations of cantilever circular cylindrical shell are investigated. Shells with perfect and imperfect shape are studied. The Sanders-Koiter nonlinear shell theory, which includes shear deformation, is used to calculate the elastic strain energy. Shell’s displacement fields (longitudinal, circumferential and radial) are expanded by means of a double mixed series: harmonic functions for the circumferential variable; Chebyshev polynomials for the longitudin
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Tamnar, R. B. "Static response of functionally graded porous spherical shells using trigonometric shear deformation theory." In Advanced Topics in Mechanics of Materials, Structures and Construction. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902592-9.

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Abstract. In this study, a static response of FGM shells containing even distribution of porosity is investigated using a trigonometric shear deformation theory accounts for effects of transverse shear and normal strains. The principal of virtual work is used for obtaining governing equations and boundary conditions of the current theory. The theory satisfies zero transverse shear stress conditions at the top and the bottom surfaces of the shell. The simply-supported FGM shell is analyzed in the present study using the Navier method. The present results of displacements and stresses in FGM she
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Reports on the topic "Theory of shells"

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Benedict, Menolly, and Ryan Sacks. Theory and Simulation results for multi shock and double shell experiments. Office of Scientific and Technical Information (OSTI), 2023. http://dx.doi.org/10.2172/1990091.

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Smith, Brandon M., Jerry S. Brock, and Todd O. Williams. Linear and Nonlinear Wave Theory Applied to Elastic Spherical Shell Test Problems. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1058049.

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Chriscoe, Mackenzie, Rowan Lockwood, Justin Tweet, and Vincent Santucci. Colonial National Historical Park: Paleontological resource inventory (public version). National Park Service, 2022. http://dx.doi.org/10.36967/nrr-2291851.

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Colonial National Historical Park (COLO) in eastern Virginia was established for its historical significance, but significant paleontological resources are also found within its boundaries. The bluffs around Yorktown are composed of sedimentary rocks and deposits of the Yorktown Formation, a marine unit deposited approximately 4.9 to 2.8 million years ago. When the Yorktown Formation was being deposited, the shallow seas were populated by many species of invertebrates, vertebrates, and micro-organisms which have left body fossils and trace fossils behind. Corals, bryozoans, bivalves, gastropod
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Gu, Ming F., Tomer Holczer, Ehud Behar, and Steven M. Kahn. Inner-Shell Absorption Lines of Fe 6-Fe 16: a Many-Body Perturbation Theory Approach. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/878002.

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Miller, Jack. Environmental stewardship of the global commons. Parliamentary Office of Science and Technology, 2021. http://dx.doi.org/10.58248/hs25.

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Farkas, Steve, Jean Johnson, and Ann Duffett. Rolling Up Their Sleeves: Superintendents and Principals Talk About What's Needed to Fix Public Schools. Public Agenda, 2003. http://dx.doi.org/10.59656/el-sb5602.001.

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Archer, Diane, and Charrlotte Adelina. Labour, waste and the circular economy in Bangkok. Stockholm Environment Institute, 2021. http://dx.doi.org/10.51414/sei2021.018.

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Without the informal economy, there would be no waste recycling in most Asian cities. In many Asian countries, waste management systems are underdeveloped, with the informal economy dominating the processes of waste collection, sorting and recycling. In this short report, we present preliminary findings from our survey of 34 waste pickers in Bangkok. The report sheds light on their working conditions, health risks, gendered dimensions and the challenges they face in waste recycling.
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Klishko, O. K. Variability of shell shape of molluscs (Bivalvia: margaritiferidea, unionidae) and their real species diversity. DOI CODE, 2020. http://dx.doi.org/10.18411/3547-2340-2020-1-22-3-15.

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Pagliacci, Carolina, and Nora Guarata. Understanding Financial Fluctuations and Their Relation to Macroeconomic Stability. Inter-American Development Bank, 2017. http://dx.doi.org/10.18235/0011801.

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This paper examines how financial fluctuations and macroeconomic stability interact in the case of Venezuela, acknowledging that financial conditions deteriorating the macroeconomic environment can arise with both good and bad macroeconomic performance. An empirical methodology is provided that constructs two indexes, which are fully interpretable and are constructed with a minimum set of assumptions applied to a large number of financial time series. Structural interpretation of indexes is pursued using a structural VAR (SVAR) that associates macroeconomic stability with financial indexes. Fo
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Yuval, Boaz, and Todd E. Shelly. Lek Behavior of Mediterranean Fruit Flies: An Experimental Analysis. United States Department of Agriculture, 2000. http://dx.doi.org/10.32747/2000.7575272.bard.

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The Mediterranean fruit fly, Ceratitis capitata (Diptera: Tephritidae), is a ubiquitous pest of fruit trees, causing significant economic damage both in the U.S. and in Israel. Control efforts in the future will rely heavily on the sterile insect technique (SIT). Success of such operations hinges on the competitive ability of released males. The mating system of the medfly is based on leks. These are aggregations of sexually signaling males that attract females (who then select and copulate a courting male). A major component of male competitiveness is their ability to join existing leks or es
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