Conservative loads on shells |
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Authors: | D Fisher |
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Institution: | (1) Dept. of Mathematics and Computer Science, James Madison University, 22807 Harrisonburg, VA, USA |
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Abstract: | Generalized load vectorsp and edge load vectorsF are denned in terms of the body force and surface on a shell. Necessary and sufficient conditions are derived forp andF, and therefore the body force and the surface force, to be conservative. It is shown for example thatp must satisfyp
i=P
ijk
q
j,1
q
k,2+Q
ij
1
q
j,2–Q
ij
2
q
j,1+R
i whereq is the generalized position vector andP
ijk, Qi,j
1 and Qij
2 are skew tensors.The case of hydrostatic pressure is examined in detail.This work was supported in part by NSF grant MSM 8618657. |
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Keywords: | |
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