1994
DOI: 10.2514/3.12089
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Redesign of plates by large admissible perturbations

Abstract: The problem of structural redesign of plates for static deflection and modal dynamics objectives is formulated and solved by the method of large admissible perturbations. The perturbation approach to redesign is first used to develop response equations for the objective plate design based on its specifications and the baseline plate design. The equations of the objective state are strongly nonlinear implicit expressions of the variable plate thickness. A large admissible perturbations algorithm is developed to… Show more

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Cited by 9 publications
(7 citation statements)
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“…For instance, linear is the dependence of the beam element stiffness k e on the cross-section moment of inertia I; and of the element mass m e on the cross-section area A (Kang and Bernitsas 1994). On the contrary, the plate element dependence of k e on the plate thickness is cubic (Bernitsas and Rim 1994).…”
Section: Structural Perturbation Equationsmentioning
confidence: 94%
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“…For instance, linear is the dependence of the beam element stiffness k e on the cross-section moment of inertia I; and of the element mass m e on the cross-section area A (Kang and Bernitsas 1994). On the contrary, the plate element dependence of k e on the plate thickness is cubic (Bernitsas and Rim 1994).…”
Section: Structural Perturbation Equationsmentioning
confidence: 94%
“…Validity of linear perturbation and sensitivity methods, however, is limited to small structural changes between S1 and S2 (Stetson 1975;Stetson and Harrison 1981;Sandstrom and Anderson 1982). Nonlinear perturbation methods were developed allowing for large structural changes-on the order of 100% to 300% from the initial State S1-by implementing predictor-corrector solution schemes (Bernitsas and Kang 1991;Bernitsas and Tawekal 1991;Bernitsas and Rim 1994;Beyko and Bernitsas 1993;Hoff and Bernitsas 1985;Kang et al 1992;Kang and Bernitsas 1994;Kim and Bernitsas 1990;Hoff and Bernitsas 1986).…”
Section: Literature Reviewmentioning
confidence: 99%
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“…Bernitsas and Tawekal (1991) solved the problem of model calibration by LEAP in a cognate space. Stiffened plate and shell elements were added by Bernitsas and Rim (1994). Bernitsas and Suryatama (1999) improved the static deflection redesign algorithm by introducing static mode compensation.…”
mentioning
confidence: 99%