Nonlinear analysis of flexible beams undergoing large rotations via symbolic computations.
Yuan, Xiaofeng, Tada, Yukio (2001)
Mathematical Problems in Engineering
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Yuan, Xiaofeng, Tada, Yukio (2001)
Mathematical Problems in Engineering
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Zhang, William, Lee, S.G. (1996)
Mathematical Problems in Engineering
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J. Chabassier, A. Chaigne, P. Joly (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The purpose of this study is the time domain modeling of a piano. We aim at explaining the vibratory and acoustical behavior of the piano, by taking into account the main elements that contribute to sound production. The soundboard is modeled as a bidimensional thick, orthotropic, heterogeneous, frequency dependent damped plate, using Reissner Mindlin equations. The vibroacoustics equations allow the soundboard to radiate into the surrounding air, in which we wish to compute the complete...
Alberto Carpinteri (2017)
Curved and Layered Structures
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Static and kinematic matrix operator equations are revisited for one-, two-, and three-dimensional deformable bodies. In particular, the elastic problem is formulated in the details in the case of arches, cylinders, circular plates, thin domes, and, through an induction process, shells of revolution. It is emphasized how the static and kinematic matrix operators are one the adjoint of the other, and then demonstrated through the definition of stiffness matrix and the application of virtual...
Alberto Corigliano, Giulio Maier, Slawomir Pycko (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The class of elastic-plastic material models considered allows for nonassociativity, nonlinear hardening and saturation in the sense that the static internal variables are constrained by a bounding surface described through convex bounding functions. With reference to finite element, generalized variables discretization in space, two dynamic shakedown criteria are established by a kinematic approach in Koiter's sense, based on weak constitutive restrictions and centered on two suitable...
Ahmed, N.U., Harbi, H. (1998)
Mathematical Problems in Engineering
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Das, S.K., Das, S.N. (2007)
Mathematical Problems in Engineering
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Danilo P. Raskovic (1963)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Zheng, Y.F., Deng, L.Q. (2010)
Mathematical Problems in Engineering
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Wen, Liu, Lei, Shi, Xiangzhong, Bai (2011)
Mathematical Problems in Engineering
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Fuzhen Pang, Chuang Wu, Hongbao Song, Haichao Li (2017)
Curved and Layered Structures
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Based on the transfer matrix theory and precise integration method, the precise integration transfer matrix method (PITMM) is implemented to investigate the free vibration characteristics of isotropic coupled conicalcylindrical shells. The influence on the boundary conditions, the shell thickness and the semi-vertex conical angle on the vibration characteristics are discussed. Based on the Flügge thin shell theory and the transfer matrix method, the field transfer matrix of cylindrical...
Soichiro Kumamoto, Kazuya Okubo, Toru Fujii (2016)
Curved and Layered Structures
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The aim of this study was to show the influence of locational states of submicron fibers added into epoxy matrix on mechanical properties of modified plane-woven carbon fiber reinforced plastic (CFRP). To change the locational states of submicron fibers, two kinds of fabrication processes were applied in preparing specimen by hand lay-up method. Submicron fibers were simply added into epoxy resin with ethanol after they were stirred by a dispersion process using homogenizer to be located...