By Erdogan Madenci, Ibrahim Guven
This textbook bargains theoretical and sensible wisdom of the finite point process. The booklet equips readers with the abilities required to research engineering difficulties utilizing ANSYS®, a commercially to be had FEA software. Revised and up to date, this re-creation provides the most up-tp-date ANSYS® instructions and ANSYS® monitor pictures, in addition to modeling steps for every instance challenge. This self-contained, introductory textual content minimizes the necessity for added reference fabric by way of protecting either the basic themes in finite aspect tools and complex subject matters referring to modeling and research. It specializes in using ANSYS® via either the pix consumer Interface (GUI) and the ANSYS® Parametric layout Language (APDL). huge examples from quite a number engineering disciplines are provided in a simple, step by step model. Key subject matters comprise: • An advent to FEM • basics and research functions of ANSYS® • basics of discretization and approximation features • Modeling ideas and mesh new release in ANSYS® • Weighted residuals and minimal power power • improvement of macro records • Linear structural research • warmth move and moisture diffusion • Nonlinear structural difficulties • complex matters resembling submodeling, substructuring, interplay with exterior documents, and amendment of ANSYS®-GUI Supplementary fabrics for this publication can be downloaded from http://extras.springer.com. this useful on-line function, inclusive of colour figures, reveal pictures and enter documents for pattern difficulties, enables regeneration at the reader’s personal machine. scholars, researchers, and practitioners alike will locate this an important advisor to predicting and simulating the actual habit of complicated engineering systems.
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Additional info for The Finite Element Method and Applications in Engineering Using ANSYS®
Example text
22) in which A and B are known explicitly. Considering the remaining sides of the square in the centroidal coordinates defined by the lines η = 1, ξ = 1, and ξ = −1 results in a straight-sided quadrilateral. 28) with ξi and ηi representing the coordinates of the corner nodes in the natural coordinate system. It is worth noting that Ni (ξ j ,η j ) = δ ij , where δ ij = 1 for i = j and δ ij = 0 for i ≠ j . 16. 4 Shape Functions Shape functions constitute the subset of element approximation functions.
However, the loading is symmetric with respect to horizontal and vertical axes only. Therefore, a quarter of the structure is required in the construction of the solution. 22 2 Fundamentals of ANSYS Fig. 9, the loading becomes symmetric with respect to the vertical axis only. Although the geometry exhibits octant symmetry, half-symmetry is necessary in order to construct the solution. 10. The loading condition allows for quarter-symmetry; however, the material properties are symmetric with respect to the horizontal axis only.
3 Types of symmetry conditions (from left to right): axisymmetry, rotational, reflective/ planar, and repetitive/translational Fig. 4 Different views of a 3-D body with axisymmetry and its cross section (far right) maximum stress, which might prove to be extremely important in the analysis and design. Engineering judgment is essential to balance the possible gain in computational cost against the loss of accuracy. 1 Symmetry Conditions If the physical system under consideration exhibits symmetry in geometry, material properties, and loading, then it is computationally advantageous to model only a representative portion.