182
Chapter 3
Note: The equality constraints
are the binding equations of the
solution.
Also, in previous examples V(6) and go (the Ws) always equated
if all constraints were useable. Here only three of the seven are used hence
V(6) didn’t get the proper feed back from all seven constraints.
From
the check of constraints,
constraints 4, 6, 7 are more important.
REFERENCES
3.1. Agrawal GK. Optimal Design of Helical Springs for Minimum Weight by
Geometric Programming, ASME 78-WA/DE-1, 1978.
3.2. Aoki M. Optimization Techniques, MacMillian, 1971.
3.3. Converse AO. Optimization, New York: Holt, Rinehart and Winston, 1970.
3.4. Bain LJ. Statistical Analysis of Reliability and Life-Testing Models (Theory
and Methods), Marcel Dekker, 1978.
3.5. Den Hartog JP. Mechanical Vibrations, 4th ed, New York: McGraw-Hill
Book Co. 1956.
3.6. DiRoccaferrera GMF. Introduction to Linear Programming, South-Western,
1967.
3.7. Dixon JR. Design Engineering, New York: McGraw-Hill Book Co, 1966.
3.8. Duffin R J, Peterson EL, Zener C. Geometric Programming, New York:
Wiley, 1967. Also a later 2nd ed.
3.9. Faires VM. Design of Machine Elements, 4th ed, New York: MacMillian
Company, 1965.
3.10. Fox RL. Optimization Methods for Engineering Design, Addison-Wesley,
1971.
3.11. Furman TT. Approximate Methods in Engineering Design, Academic Press,
1981.
3.12. Gottfried BS, Weisman J. Introduction to Optimization Theory, Englewood
Cliffs, NJ: Prentice-Hall, 1973.
3.13. Griffel W. Handbook of Formulas for Stress and Strain, New York:
Frederick Ungar Publishing Co, 1966.
3.14. Lipschutz S. Finite Mathematics, New York: McGraw-Hill, 1966.
3.15. Mann NR, Schafer RE, Sing Purwalla ND. Methods for Statistical Analysis
of Reliability and Life Data, New York: John Wiley and Sons, 1974.
3.16. Mechanical Engineering News, Vol. 7, No. 2, May 1970.
3.17. Peters MS. Plant Design and Economics for Chemical Engineers, New York:
McGraw-Hill, 1958.
3.18. Reeser C. Making Decisions Scientifically,
29 May 1972, Machine Design,
Cleveland: Penton Co, 1972.
3.19. Rubenstein R. Simulation and the Monte Carlo Method, New York: Wiley
and Sons, 1981.
3.20. SAS/IML Software Changes and Enhancements Through Release 6.11, SAS
Institute Inc, Cary NC, 1995.
3.21. Shanley FR. Strength of Materials, New York: McGraw-Hill Book Co, 1957.
Chapter 3
Note: The equality constraints
are the binding equations of the
solution.
Also, in previous examples V(6) and go (the Ws) always equated
if all constraints were useable. Here only three of the seven are used hence
V(6) didn’t get the proper feed back from all seven constraints.
From
the check of constraints,
constraints 4, 6, 7 are more important.
REFERENCES
3.1. Agrawal GK. Optimal Design of Helical Springs for Minimum Weight by
Geometric Programming, ASME 78-WA/DE-1, 1978.
3.2. Aoki M. Optimization Techniques, MacMillian, 1971.
3.3. Converse AO. Optimization, New York: Holt, Rinehart and Winston, 1970.
3.4. Bain LJ. Statistical Analysis of Reliability and Life-Testing Models (Theory
and Methods), Marcel Dekker, 1978.
3.5. Den Hartog JP. Mechanical Vibrations, 4th ed, New York: McGraw-Hill
Book Co. 1956.
3.6. DiRoccaferrera GMF. Introduction to Linear Programming, South-Western,
1967.
3.7. Dixon JR. Design Engineering, New York: McGraw-Hill Book Co, 1966.
3.8. Duffin R J, Peterson EL, Zener C. Geometric Programming, New York:
Wiley, 1967. Also a later 2nd ed.
3.9. Faires VM. Design of Machine Elements, 4th ed, New York: MacMillian
Company, 1965.
3.10. Fox RL. Optimization Methods for Engineering Design, Addison-Wesley,
1971.
3.11. Furman TT. Approximate Methods in Engineering Design, Academic Press,
1981.
3.12. Gottfried BS, Weisman J. Introduction to Optimization Theory, Englewood
Cliffs, NJ: Prentice-Hall, 1973.
3.13. Griffel W. Handbook of Formulas for Stress and Strain, New York:
Frederick Ungar Publishing Co, 1966.
3.14. Lipschutz S. Finite Mathematics, New York: McGraw-Hill, 1966.
3.15. Mann NR, Schafer RE, Sing Purwalla ND. Methods for Statistical Analysis
of Reliability and Life Data, New York: John Wiley and Sons, 1974.
3.16. Mechanical Engineering News, Vol. 7, No. 2, May 1970.
3.17. Peters MS. Plant Design and Economics for Chemical Engineers, New York:
McGraw-Hill, 1958.
3.18. Reeser C. Making Decisions Scientifically,
29 May 1972, Machine Design,
Cleveland: Penton Co, 1972.
3.19. Rubenstein R. Simulation and the Monte Carlo Method, New York: Wiley
and Sons, 1981.
3.20. SAS/IML Software Changes and Enhancements Through Release 6.11, SAS
Institute Inc, Cary NC, 1995.
3.21. Shanley FR. Strength of Materials, New York: McGraw-Hill Book Co, 1957.