The Generalized Fourier Series Method: Bending of Elastic Plates, Constanda Christian, Doty Dale
Автор: Steffen Ropers Название: Bending Behavior of Thermoplastic Composite Sheets ISBN: 3658175931 ISBN-13(EAN): 9783658175931 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Within the scope of this work, Steffen Ropers evaluates the viscoelastic and temperature-dependent nature of the bending behavior of thermoplastic composite sheets in order to further enhance the predictability of the draping simulation.
Описание: 1. The Mathematical Model.- 2. Generalized Fourier Series.- 3. Interior Dirichlet Problem.- 4. Interior Neumann Problem.- 5. Interior Robin Problem.- 6. Exterior Dirichlet Problem.- 7. Exterior Neumann Problem.- 8. Exterior Robin Problem.- A. Numerical Issues.- B. Numerical Integration.- C. Interior Boundary Value Problem for D[x, y].- D. Exterior Boundary Value Problems for D A[X, y].- E. Numerical Integration of P[x, y] and P A[x, y].- References.- Index.
Автор: Angelo Marcello Tarantino; Luca Lanzoni; Federico Название: The Bending Theory of Fully Nonlinear Beams ISBN: 3030146758 ISBN-13(EAN): 9783030146757 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the bending theory of hyperelastic beams in the context of finite elasticity. The main difficulties in addressing this issue are due to its fully nonlinear framework, which makes no assumptions regarding the size of the deformation and displacement fields. Despite the complexity of its mathematical formulation, the inflexion problem of nonlinear beams is frequently used in practice, and has numerous applications in the industrial, mechanical and civil sectors. Adopting a semi-inverse approach, the book formulates a three-dimensional kinematic model in which the longitudinal bending is accompanied by the transversal deformation of cross-sections. The results provided by the theoretical model are subsequently compared with those of numerical and experimental analyses. The numerical analysis is based on the finite element method (FEM), whereas a test equipment prototype was designed and fabricated for the experimental analysis. The experimental data was acquired using digital image correlation (DIC) instrumentation. These two further analyses serve to confirm the hypotheses underlying the theoretical model. In the book’s closing section, the analysis is generalized to the case of variable bending moment. The governing equations then take the form of a coupled system of three equations in integral form, which can be applied to a very wide class of equilibrium problems for nonlinear beams.
Автор: Tomovski Zivorad, Leskovski Delčo, Gerhold Stefan Название: Generalized Mathieu Series ISBN: 3030848167 ISBN-13(EAN): 9783030848163 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Mathieu series is a functional series introduced by Emile Leonard Mathieu for the purposes of his research on the elasticity of solid bodies. A systematic study of probability density functions and probability distributions associated with the Mathieu series, its generalizations and Planck`s distribution is also presented.
Описание: This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis.
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