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

Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)

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.

Concepts and Applications of Finite Element Analysis

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.

Numerical methods in finite element analysis

Abstract: Numerical methods in finite element analysis , Numerical methods in finite element analysis , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی

Natural frequencies of a beam with varying section properties

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.