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− | + | basic concepts of finite elements, with applications to problems confronted by mechanical designers. linear static, modal, and thermal formulations; nonlinear and dynamic formulations. students implement simple element formulations. application of a commercial finite element code in analyzing design problems. issues: solution methods, modeling techniques features of various commercial codes, basic problem definition. Individual projects focus on the interplay of analysis and testing in product design and development. prerequisite: math103, or equivalent. recommended: me80, or equivalent in structural and/or solid mechanics; some exposure to principles of heat transfer. | |
==grading== | ==grading== |
Revision as of 00:27, 30 November 2007
Contents |
me309 - finite element analysis in mechanical design
ellen kuhl - ekuhl.at.stanford.edu winter 2008 |
goals
basic concepts of finite elements, with applications to problems confronted by mechanical designers. linear static, modal, and thermal formulations; nonlinear and dynamic formulations. students implement simple element formulations. application of a commercial finite element code in analyzing design problems. issues: solution methods, modeling techniques features of various commercial codes, basic problem definition. Individual projects focus on the interplay of analysis and testing in product design and development. prerequisite: math103, or equivalent. recommended: me80, or equivalent in structural and/or solid mechanics; some exposure to principles of heat transfer.
grading
- 50 % homework - 4 homework assignments, 12.5% each
- 30 % midterm - open book, open notes
- 20 % project - final homework project
syllabus
day | date | topic | notes | hw | ||
---|---|---|---|---|---|---|
tue | jan | 08 | 1d truss elements | m01 | h01 | |
thu | jan | 10 | 1d truss elements | m01 | ||
tue | jan | 15 | ansys - introduction (in terman 104) | t0,t1,t2 | bhargav | |
thu | jan | 17 | modeling - top down & bottom up | m01 | kuhl | |
tue | jan | 22 | 1d beam elements | m02 | ||
thu | jan | 24 | weak form - stiffness matrix | m03 | h02,h05 | |
tue | jan | 29 | 2d trianglular elements | m03 | ||
thu | jan | 31 | ansys - modeling | m03 | ||
tue | feb | 05 | 2d quadrilaterial elements | m04 | ||
thu | feb | 07 | isoparametric concept | m04 | h03,h04 | |
tue | feb | 12 | stress calculation - error analysis | m05 | ||
thu | feb | 14 | stress calculation - error analysis | m06 | ||
tue | feb | 19 | modal analysis - stability - buckling | m07 | ||
thu | feb | 21 | thermal analysis | m08 | ||
tue | feb | 26 | modeling errors - validation | m09 | ||
thu | feb | 28 | midterm | |||
tue | mar | 04 | special topics in finite element analysis | |||
thu | mar | 06 | special topics in finite element analysis | |||
tue | mar | 11 | special topics in finite element analysis | |||
thu | mar | 13 | special topics in finite element analysis | |||
fri | mar | 06 | final projects due |
additional reading
(1) cook r: finite element modeling for stress analysis, cambridge university press, cambridge, 2002
(2) buchanan g: schaum's outlines, sinauer associates, sunderland, 2001
(3) logan d.: a first course in the finite element method, garland science, taylor & francis, new york, 2002