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https://link.springer.com/article/10.1007/BF00933023
The conditions for optimal location of supports are derived for the case of elastic design for specified mean compliance and plastic design for given safety factor of plastic collapse. The optimal design problem is next formulated including position-dependent cost of support into the design procedure.Cited by: 126
https://www.sciencedirect.com/science/article/pii/004578257990063X
Optimal design of vibrating beams with unspecified support reactions. Author ... support conditions and segmentation, J. Struct. Mech. 5 (1977) 279-290 [3] Z. Mr and G.I.N. Rozvany, Optimal design of structures with variable support conditions, J. Opt. Theory Appl. 15 (1975) 85-101 [4] N. Olhoff, Optimization of vibrating beams with respect to ...Cited by: 24
https://link.springer.com/chapter/10.1007%2F978-3-642-83051-8_12
Sensitivity Analysis and Optimal Design with Account for Varying Shape and Support Conditions ... “Optimal design of structures with variable support conditions”, J. Opt.Theory Appl., 15 ... Mróz Z. (1987) Sensitivity Analysis and Optimal Design with Account for Varying Shape and Support Conditions. In: Mota Soares C.A. (eds) Computer ...Cited by: 28
https://www.sciencedirect.com/science/article/pii/0045794971900137
Justification of this extension to a more general case will be discussed later with the aid of a two variable design space. Design of Optimum Structures 271 The optimality criteria modified for the general case is as follows: "The optimum design is the one in which the strain energy of each element bears a constant ratio to its energy capacity."Cited by: 364
https://www.sciencedirect.com/science/article/pii/0020768388900650
Optimal design of elastic beams under multiple design constraints 335 VamM/S2 Fig. 1. Transversality conditions for the Lagrangians at region boundaries. (e) Regions governed by the maximum area constraint: Rb These regions are likely to be isolated points because in general the constraint a < ab permits a = ab only locally.Cited by: 6
https://www.sciencedirect.com/science/article/pii/004579498190002X
Optimal rigid support position for stress intensity design (p = 10), (a) moment and deflection fields for the beam, (b) deflection field for the adjoint beam. Optimal support reaction in …Cited by: 27
https://link.springer.com/article/10.1007/s00158-004-0474-0
Sep 30, 2004 · The paper is concerned with a class of structural optimization problems for which loading distribution and orientation are unspecified. The optimal loading conditions correspond to the extremal structural response, which can be used in assessment of structural safety or in generating the maximum structure stiffness or compliance.Cited by: 24
https://www.sciencedirect.com/science/article/pii/S0263822318339151
Jul 15, 2019 · Compared with designing structures or materials solely, the integrated topology optimization of structures and materials can provide more design freedoms so that the resulted structures are able to achieve even better performance.Author: Xiaolei Yan, Qiwang Xu, Dengfeng Huang, Yong Zhong, Xiaodong Huang, Xiaodong Huang
https://link.springer.com/chapter/10.1007/978-94-009-1413-1_30
Optimality Conditions for Multiple Loaded Structures — Integrating Control and Finite Element Method. Authors; ... An illustrative example is presented and efficiency of the optimal design is judged by comparing it with a uniform cross-sectional area design. ... ’Optimal design of structures with variable support conditions’, J. of ...Cited by: 2
https://asmedigitalcollection.asme.org/mechanicaldesign/article/131/2/021005/476796/Optimization-of-Support-Locations-of-Beam-and
Motivated by this need, this research aims to develop an efficient gradient-based optimization method of finding optimal support locations of beam or plate structures under self-weight. To use a gradient-based algorithm, the support locating problem is formulated with continuous design variables.Cited by: 10
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