Geometric optimization in presence of contact singularities
نویسندگان
چکیده
منابع مشابه
Geometric Optimization in Presence of Contact Singularities
The stress singularity of a sharp wedge contacting a frictionless half plane can be avoided by changing the wedge shape. Shape optimization is accomplished with the geometric strain method (GSM), an optimality criterion method. Several numerical examples are provided for different materials in the wedge and half plane to avoid stress singularity near the sharp corner of the wedge. Optimum wedge...
متن کاملGeometric optimization in the presence of contact singularities
T h e stress singularity of a sha rp wedge contacting a half p lane can b e avoided by changing t h e wedge shape. Shape optimization is accomplished wi th the geometric s t ra in method (GSM), an optimali ty criterion method. Several numerical examples a r e provided for different materials i n t h e wedge and half plane t o avoid stress singularity near t h e sha rp corner of t h e wedge. Opt...
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A contact singularity is a normal singularity (V, 0) together with a holomorphic contact form η on V \ Sing V in a neighbourhood of 0, i.e. η∧(dη) r has no zero, where dim V = 2r + 1. The main result of this paper is that there are no isolated contact singularities.
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ژورنال
عنوان ژورنال: AIAA Journal
سال: 1995
ISSN: 0001-1452,1533-385X
DOI: 10.2514/3.12690