{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,10]],"date-time":"2026-05-10T07:48:28Z","timestamp":1778399308547,"version":"3.51.4"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1995,2,1]],"date-time":"1995-02-01T00:00:00Z","timestamp":791596800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Structural Optimization"],"published-print":{"date-parts":[[1995,2]]},"DOI":"10.1007\/bf01742645","type":"journal-article","created":{"date-parts":[[2005,6,13]],"date-time":"2005-06-13T21:02:33Z","timestamp":1118696553000},"page":"52-56","source":"Crossref","is-referenced-by-count":71,"title":["Necessary conditions for optimal design of structures with a nonsmooth eigenvalue based criterion"],"prefix":"10.1007","volume":"9","author":[{"given":"H. C.","family":"Rodrigues","sequence":"first","affiliation":[]},{"given":"J. M.","family":"Guedes","sequence":"additional","affiliation":[]},{"given":"M. P.","family":"Bends\u00f8e","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF01742645_CR1","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1080\/03601218308907456","volume":"11","author":"M.P. Bends\u00f8e","year":"1983","unstructured":"Bends\u00f8e, M.P.; Olhoff, N.; Taylor, J.E 1983: A variational formulation for multicriteria structural optimization.J. Struct. Mech. 11, 523\u2013544","journal-title":"J. Struct. Mech."},{"key":"BF01742645_CR2","volume-title":"Optimization and non-smooth analysis","author":"F. Clarke","year":"1983","unstructured":"Clarke, F. 1983:Optimization and non-smooth analysis. New York: John Wiley and Sons"},{"key":"BF01742645_CR3","volume-title":"Practical methods for optimization","author":"R. Fletcher","year":"1987","unstructured":"Fletcher, R. 1987:Practical methods for optimization. New York: John Wiley and Sons"},{"key":"BF01742645_CR4","volume-title":"Design sensitivity analysis of structural systems","author":"E.J. Haug","year":"1986","unstructured":"Haug, E.J.; Choi, K.K.; V. Komkov, V. 1986:Design sensitivity analysis of structural systems. New York: Academic Press"},{"key":"BF01742645_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0074500","volume-title":"Methods of descent for nondifferentiable optimization. Lecture Notes in Mathematics1133","author":"K.C. Kiwiel","year":"1985","unstructured":"Kiwiel, K.C. 1985:Methods of descent for nondifferentiable optimization. Lecture Notes in Mathematics1133. Berlin, Heidelberg, New York: Springer"},{"key":"BF01742645_CR6","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1016\/0020-7683(77)90043-9","volume":"13","author":"N. Olhoff","year":"1977","unstructured":"Olhoff, N.; Rasmussen, S.H. 1977: On single and bimodal optimum buckling loads of clamped columns.Int. J. Solids & Struct. 13, 605\u2013614","journal-title":"Int. J. Solids & Struct."},{"key":"BF01742645_CR7","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/978-3-642-83051-8_2","volume-title":"Computer aided optimal design: structural and mechanical systems","author":"N. Olhoff","year":"1987","unstructured":"Olhoff, N. 1987: Structural optimization by variational method. In: Mota Soares, C.A. (ed.)Computer aided optimal design: structural and mechanical systems, pp. 87\u2013179. Berlin, Heidelberg, New York: Springer"},{"key":"BF01742645_CR8","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1137\/0802007","volume":"2","author":"M.L. Overton","year":"1993","unstructured":"Overton, M.L. 1993: Large scale optimization of eigenvalues.SIAM J. Optimiz. 2, 88\u2013120","journal-title":"SIAM J. Optimiz."},{"key":"BF01742645_CR9","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/BF01585173","volume":"62","author":"M.L. Overton","year":"1993","unstructured":"Overton, M.L.; Womersley, R.S. 1993: Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices.Math. Prog. 62, 321\u2013357","journal-title":"Math. Prog."},{"key":"BF01742645_CR10","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1137\/0802008","volume":"1","author":"H. Schramm","year":"1992","unstructured":"Schramm, H.; Zowe, J. 1992: A version of the bundle idea for minimizing a nonsmooth function: conceptual idea, convergence analysis, numerical results.SIAM J. Optimiz. 1, 121\u2013152","journal-title":"SIAM J. Optimiz."},{"key":"BF01742645_CR11","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/BF01742705","volume":"8","author":"A.P. Seyranian","year":"1994","unstructured":"Seyranian, A.P.; Lund, E.; Olhoff, N. 1994: Multiple eigenvalues in structural optimization problems.Struct. Optim. 8, 207\u2013227","journal-title":"Struct. Optim."},{"key":"BF01742645_CR12","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/BF01443617","volume":"18","author":"J. Sokolowski","year":"1988","unstructured":"Sokolowski, J. 1988: Sensitivity analysis of contact problems with prescribed friction.Appl. Math. Optimiz. 18 99\u2013117","journal-title":"Appl. Math. Optimiz."},{"key":"BF01742645_CR13","volume-title":"Optimal structural design under stability constraints","author":"M. Zyczkowski","year":"1988","unstructured":"Zyczkowski, M.; Gajewski, A. 1988:Optimal structural design under stability constraints. Dordrecht: Kluwer"}],"container-title":["Structural Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01742645.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01742645\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01742645","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,8]],"date-time":"2019-05-08T10:50:44Z","timestamp":1557312644000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01742645"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,2]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1995,2]]}},"alternative-id":["BF01742645"],"URL":"https:\/\/doi.org\/10.1007\/bf01742645","relation":{},"ISSN":["0934-4373","1615-1488"],"issn-type":[{"value":"0934-4373","type":"print"},{"value":"1615-1488","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,2]]}}}