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Journal of Structural Mechanics Volume 6, 1978 - Issue 4
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Original Articles

Designing Continuous Columns for Minimum Total Cost of Material and Interior Supports

Nieis Olhoff DEPARTMENT OF SOLID MECHANICS, THE TECHNICAL UNIVERSITY OF DENMARK, LYNGBY, DENMARK
&
John E. Taylor DEPARTMENT OF AEROSPACE ENGINEERING DEPARTMENT OF APPLIED MECHANICS AND ENGINEERING SCIENCE, UNIVERSITY OF MICHIGAN, ANN ARBOR, MICHIGAN
Pages 367-382 | Received 08 Feb 1978, Published online: 03 Apr 2007

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G. I. N. Rozvany. (1994) Optimal Layout of Grillages: Allowance for the Cost of Supports and Optimization of Support Locations* . Mechanics of Structures and Machines 22:1, pages 49-72.
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S. ADA LI & K. J. DUFFY. (1992) MINIMUM COST DESIGN OF VIBRATING LAMINATES BY HYBRIDIZATION. Engineering Optimization 19:4, pages 255-267.
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A. Garstecki & Z. Mróz. (1987) Optimal Design of Supports of Elastic Structures Subjected to Loads and Initial Distortions. Mechanics of Structures and Machines 15:1, pages 47-68.
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Articles from other publishers (26)

Ersin AYDIN, Yunus Emre KEBELİ, Hüseyin ÇETİN & Baki ÖZTÜRK. (2023) DESIGN OF VISCO-ELASTIC SUPPORTS FOR TIMOSHENKO CANTILEVER BEAMS. Konya Journal of Engineering Sciences 11, pages 1-22.
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Isaac Elishakoff, Moshe Eisenberger & Alexander Mercer. (2023) An interesting project in the “strength of materials” or “machine design” courses. Optimization and Engineering.
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Ersin Aydin, Maciej Dutkiewicz, Baki Öztürk & Mustafa Sonmez. (2020) Optimization of elastic spring supports for cantilever beams. Structural and Multidisciplinary Optimization 62:1, pages 55-81.
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Qi Xia, Michael Yu Wang & Tielin Shi. (2014) A level set method for shape and topology optimization of both structure and support of continuum structures. Computer Methods in Applied Mechanics and Engineering 272, pages 340-353.
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Isaac Elishakoff, Xiaojun Wang, Juxi Hu & Zhiping Qiu. (2013) Minimization of the least favorable static response of a two-span beam subjected to uncertain loading. Thin-Walled Structures 70, pages 49-56.
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Bin Niu, Niels Olhoff, Erik Lund & Gengdong Cheng. (2010) Discrete material optimization of vibrating laminated composite plates for minimum sound radiation. International Journal of Solids and Structures 47:16, pages 2097-2114.
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M. P. Bendsøe, N. Olhoff & G. I. N. Rozvany. (2007) In memoriam: John E. Taylor 1931–2005. Structural and Multidisciplinary Optimization 33:3, pages 173-177.
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Zhu Jihong & Zhang Weihong. (2006) Maximization of structural natural frequency with optimal support layout. Structural and Multidisciplinary Optimization 31:6, pages 462-469.
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Shrinivas LankalapalliJeffrey W. Eischen. (2016) Optimal Pick-up Locations for Transport and Handling of Limp Materials. Textile Research Journal 73:9, pages 787-796.
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Victor Birman & Arthur Simonyan. (1996) Optimum distribution of smart stiffeners in sandwich plates subjected to bending or forced vibrations. Composites Part B: Engineering 27:6, pages 657-665.
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N. V. Banichuk & A. A. Barsuk. (1995) Design of an optimum column with elastic clamping. Structural Optimization 9:3-4, pages 254-257.
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R.E. Rossi & P.A.A. Laura. (1993) Dynamic stiffening of an arch clamped at one end and free at the other. Journal of Sound and Vibration 161:1, pages 190-192.
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C. M. Wang, K. M. Liew, L. Wang & K. K. Ang. (1992) Optimal locations of internal line supports for rectangular plates against buckling. Structural Optimization 4:3-4, pages 199-205.
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N. Olhoff & B. Åkesson. (1991) Minimum stiffness of optimally located supports for maximum value of column buckling loads. Structural Optimization 3:3, pages 163-175.
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C. J. Goh, C. M. Wang & K. L. Teo. (1991) Unified approach to structural optimization II: Variable segment boundaries and variable interior point constraints. Structural Optimization 3:3, pages 133-140.
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N. V. BanichukN. V. Banichuk. 1990. Introduction to Optimization of Structures. Introduction to Optimization of Structures 253 296 .
N. Olhoff. 1989. Structural Optimization under Stability and Vibration Constraints. Structural Optimization under Stability and Vibration Constraints 145 212 .
B. kesson & N. Olhoff. (1988) Minimum stiffness of optimally located supports for maximum value of beam eigenfrequencies. Journal of Sound and Vibration 120:3, pages 457-463.
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Antoni Gajewski & Michal ZyczkowskiAntoni Gajewski & Michal Zyczkowski. 1988. Optimal Structural Design under Stability Constraints. Optimal Structural Design under Stability Constraints 69 154 .
K. Dems, R.H. Plaut, A.S. Banach & L.W. Johnson. (1987) Optimization of elastic foundation for minimum beam deflection. International Journal of Solids and Structures 23:11, pages 1551-1562.
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Niels Olhoff. 1987. Computer Aided Optimal Design: Structural and Mechanical Systems. Computer Aided Optimal Design: Structural and Mechanical Systems 87 164 .
Zenon Mróz. 1987. Computer Aided Optimal Design: Structural and Mechanical Systems. Computer Aided Optimal Design: Structural and Mechanical Systems 407 438 .
Vadim Komkov. 1984. Sensitivity of Functionals with Applications to Engineering Sciences. Sensitivity of Functionals with Applications to Engineering Sciences 1 30 .
Niels Olhoff. 1981. Optimization of Distributed Parameter Structures — Volume I. Optimization of Distributed Parameter Structures — Volume I 152 176 .
Vadim Komkov & Edward J. Haug. 1981. Optimization of Distributed Parameter Structures — Volume I. Optimization of Distributed Parameter Structures — Volume I 399 425 .
Edward J. Haug. 1981. Optimization of Distributed Parameter Structures — Volume I. Optimization of Distributed Parameter Structures — Volume I 3 74 .

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