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Author: Sirisha Madavapeddy
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 452
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Book Description
Author: Sirisha Madavapeddy
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 452
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Book Description
Author: X. H. Wang
Publisher:
ISBN:
Category : University of Ottawa theses
Languages : en
Pages : 158
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Book Description
Author: John L. Sewall
Publisher:
ISBN:
Category : Frequencies of oscillating systems
Languages : en
Pages : 92
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Book Description
This paper reports an experimental and analytical vibration study of free-free isotropic elliptical cylindrical shells of constant mass ranging in cross-sectional eccentricity from zero (circular shell) to 0.916. Experimental resonant frequencies, nodal patterns, and mode shapes were obtained by use of an air-jet shaker or an electrodynamic shaker with a noncontact inductance probe that could be moved over most of the shell surface. Experimental frequencies were in generally good agreement with analytical frequencies calculated by means of a Rayleigh-Ritz type of analysis featuring multiterm longitudinal and circumferential modal expansions. Frequencies for shells with eccentricity of 0.916 were as much as 40 percent below the corresponding circular-shell frequencies. As eccentricity increased, analytical and experimental mode shapes indicated considerable longitudinal and circumferential modal coupling.
Author: Eric Stephen Fox
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 406
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 312
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Book Description
"Education, arts and social sciences, natural and technical sciences in the United States and Canada".
Author: Eldon Eugene Kordes
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 174
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Book Description
Author: Francesco Tornabene
Publisher: Società Editrice Esculapio
ISBN: 8835328993
Category : Technology & Engineering
Languages : en
Pages : 1199
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Book Description
This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for the mechanical analysis of doubly-curved shell structures made of anisotropic and composite materials. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the structural behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are developed to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are presented, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. Finally, two numerical techniques, named Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are developed to deal with multi-element domains characterized by arbitrary shapes and discontinuities.
Author: Galip Mehmet Arkilic
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 166
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Author: Francesco Tornabene
Publisher: Società Editrice Esculapio
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 689
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Book Description
The main aim of this book is to analyze the mathematical fundamentals and the main features of the Generalized Differential Quadrature (GDQ) and Generalized Integral Quadrature (GIQ) techniques. Furthermore, another interesting aim of the present book is to shown that from the two numerical techniques mentioned above it is possible to derive two different approaches such as the Strong and Weak Finite Element Methods (SFEM and WFEM), that will be used to solve various structural problems and arbitrarily shaped structures. A general approach to the Differential Quadrature is proposed. The weighting coefficients for different basis functions and grid distributions are determined. Furthermore, the expressions of the principal approximating polynomials and grid distributions, available in the literature, are shown. Besides the classic orthogonal polynomials, a new class of basis functions, which depend on the radial distance between the discretization points, is presented. They are known as Radial Basis Functions (or RBFs). The general expressions for the derivative evaluation can be utilized in the local form to reduce the computational cost. From this concept the Local Generalized Differential Quadrature (LGDQ) method is derived. The Generalized Integral Quadrature (GIQ) technique can be used employing several basis functions, without any restriction on the point distributions for the given definition domain. To better underline these concepts some classical numerical integration schemes are reported, such as the trapezoidal rule or the Simpson method. An alternative approach based on Taylor series is also illustrated to approximate integrals. This technique is named as Generalized Taylor-based Integral Quadrature (GTIQ) method. The major structural theories for the analysis of the mechanical behavior of various structures are presented in depth in the book. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. Generally speaking, two formulations of the same system of governing equations can be developed, which are respectively the strong and weak (or variational) formulations. Once the governing equations that rule a generic structural problem are obtained, together with the corresponding boundary conditions, a differential system is written. In particular, the Strong Formulation (SF) of the governing equations is obtained. The differentiability requirement, instead, is reduced through a weighted integral statement if the corresponding Weak Formulation (WF) of the governing equations is developed. Thus, an equivalent integral formulation is derived, starting directly from the previous one. In particular, the formulation in hand is obtained by introducing a Lagrangian approximation of the degrees of freedom of the problem. The need of studying arbitrarily shaped domains or characterized by mechanical and geometrical discontinuities leads to the development of new numerical approaches that divide the structure in finite elements. Then, the strong form or the weak form of the fundamental equations are solved inside each element. The fundamental aspects of this technique, which the author defined respectively Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are presented in the book.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 538
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Book Description
