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Journal ArticleDOI

Impulse response of cantilever beams with thickness discontinuity subjected to a point load

03 Oct 1994-Computers & Structures (Pergamon)-Vol. 53, Iss: 1, pp 209-217

AbstractCantilever beams with thickness discontinuity and subjected to an impulse load at a point have been analysed. The beam element with two degrees of freedom per node is used for the analysis. Three beam models are analysed for possible reduction of maximum displacement and maximum stress by choosing the discontinuity at different locations. Numerical results are presented for various step-ratios in the thickness. The weight of the beam is kept constant for various step-ratios. It has been shown that the maximum displacement and maximum stress decrease up to a step-ratio of two for certain type of thickness variations presented in this paper.

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Citations
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Journal ArticleDOI
TL;DR: A bibliographical review of the finite element methods applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view is given.
Abstract: Gives a bibliographical review of the finite element methods (FEMs) applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view. The range of applications of FEMs in this area is wide and cannot be presented in a single paper; therefore aims to give the reader an encyclopaedic view on the subject. The bibliography at the end of the paper contains 2,025 references to papers, conference proceedings and theses/dissertations dealing with the analysis of beams, columns, rods, bars, cables, discs, blades, shafts, membranes, plates and shells that were published in 1992‐1995.

36 citations


References
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Book
01 Jan 1974
Abstract: Notation. Introduction. One-Dimensional Elements, Computational Procedures. Basic Elements. Formulation Techniques: Variational Methods. Formulation Techniques: Galerkin and Other Weighted Residual Methods. Isoparametric Elements. Isoparametric Triangles and Tetrahedra. Coordinate Transformation and Selected Analysis Options. Error, Error Estimation, and Convergence. Modeling Considerations and Software Use. Finite Elements in Structural Dynamics and Vibrations. Heat Transfer and Selected Fluid Problems. Constaints: Penalty Forms, Locking, and Constraint Counting. Solid of Revolution. Plate Bending. Shells. Nonlinearity: An Introduction. Stress Stiffness and Buckling. Appendix A: Matrices: Selected Definition and Manipulations. Appendix B: Simultaneous Algebraic Equations. Appendix C: Eigenvalues and Eigenvectors. References. Index.

6,053 citations

Book
01 Jan 1976
TL;DR: Numerical methods in finite element analysis, Numerical techniques in finite elements analysis, and so on.
Abstract: Numerical methods in finite element analysis , Numerical methods in finite element analysis , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی

2,068 citations

Journal ArticleDOI
Abstract: Non-uniform beams with cross-section varying in a continuous or non-continuous manner along their lengths are used in many structural applications in an effort to achieve an optimum distribution of strength and weight. The authors have investigated the problem of calculating the natural frequencies for beams with inertia, area and mass varying in a general manner. The procedure proposed allows the effect of each of these variables to be evaluated separately and leads to the concept of effective inertia, effective area and effective mass. It also enables one to determine the natural frequencies of a beam with varying section properties using a simple formula similar to the one used in practice for computing the natural frequencies for a uniform beam. It is also shown that the effect of shear deformation upon the natural frequencies of a beam with classical boundary conditions can be estimated within the limits of practical accuracy by using a simple formula similar to the one used for simply supported beams. An important feature of the results presented here is the simplicity and relative ease with which these expressions can be applied to beams with various types of boundary conditions. The authors believe that a practicing engineer will find these results easy to apply in computing the natural frequencies of non-uniform beams within practical limits.

32 citations