OPTIMAL DESIGN OF ELASTIC STRUCTURES FOR MAXIMUM STIFFNESS

THE PURPOSE OF THIS PAPER IS TO ESTABLISH A GENERAL THEORY OF OPTIMAL DESIGN OF ELASTIC STRUCTURES SUCH THAT THE STRUCTURE WITH A GIVEN VOLUME WOULD HAVE MAXIMUM STIFFNESS. A SUFFICIENT CONDITION OF OPTIMALITY IS DERIVED FROM THE PRINCIPLE OF MINIMUM POTENTIAL ENERGY. THIS OPTINALITY CONDITION IS PROVEN BY THE VARIATIONAL METHOD TO BE A NECESSARY ONE UNDER THE CONDTION THAT THE OPTIMAL STRUCTURE HAS CERTAIN CONTINUITY AND DIFFERENTIABILITY PROPERTIES. PHYSICAL INTERPRETATIONS OF THE OPTIMALITY CONDITION ARE DISCUSSED FOR PROBLEMS OF BEAMS, PLATES AND TRUSSES. AN APPLICATION OF THE THEORY IS ILLUSTRATED IN A PROBLEM OF OPTIMAL DESIGN OF A SIMPLY SUPPORTED CIRCULAR PLATE UNDER UNIFORM PRESSURE. DETAILED DESCRIPTION OF THE NUMERICAL PROCEDURE FOR THE SOLUTION OF THE PLATE PROBLEM IS

• Supplemental Notes:
  • Tr No 14, pP 1-22, 1 FIG, 5 REF
• Corporate Authors:

  University of California, San Diego

  School of Global Policy and Strategy
  9500 Gilman Drive
  La Jolla, CA  United States  92093

  Aerospace & Mech Eng Sci Dept

  ,    
• Authors:
  • Huang, N C
• Publication Date: 1967-9

Subject/Index Terms

• TRT Terms: Beams; Design; Elastic analysis; Numerical analysis; Optimization; Stiffness; Structural design; Structural plates; Theory; Trusses
• Uncontrolled Terms: Plates
• Old TRIS Terms: Elastic analysis (Structural); Optimum design; Stiffness methods (Structural)
• Subject Areas: Bridges and other structures; Design; Highways;

Filing Info

• Accession Number: 00208413
• Record Type: Publication
• Files: TRIS
• Created Date: Apr 12 1994 12:00AM