Olhoff, Niels; Plaut, Raymond H. Bimodal optimization of vibrating shallow arches. (English) Zbl 0511.73098 Int. J. Solids Struct. 19, 553-570 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 Documents MSC: 74P99 Optimization problems in solid mechanics 74H45 Vibrations in dynamical problems in solid mechanics 74S30 Other numerical methods in solid mechanics (MSC2010) 74K15 Membranes Keywords:bimodal formulation; maximizing the fundamental vibration frequency; shallow, elastic arches; given span, volume, length, material, and boundary conditions; different cross-sectional types; two simultaneous design variables; cross-sectional area; arch centerline functions; numerical solution; successive iterations; clamped arches of different lengths; minimum constraint values PDF BibTeX XML Cite \textit{N. Olhoff} and \textit{R. H. Plaut}, Int. J. Solids Struct. 19, 553--570 (1983; Zbl 0511.73098) Full Text: DOI