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Structural Computations by Using SVD

  • Buntara Sthenly Gan
Chapter

Abstract

In this chapter, we will learn about the procedure, algorithm, and technique in the numerical analysis to obtain solutions of the structural computations by using the singular value decomposition (SVD) method to analyze the equilibrium matrix of the structure which is based on the force density method (FDM). The algorithm to solve the structural system depends on the classification of the structures based on the degree of static and kinematic properties. By using SVD which make use of FDM, a structural system which has the singularity such as rigid body motion can also be analyzed. Thus, the SVD is suitable for use to analyze the system of tensegrity structures in general. Examples of the structural system classes accompanied by the MATLAB codes are presented.

Keywords

Structural system Singular value decomposition Structural analysis Equilibrium matrix Force density method 

References

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Further Reading

  1. Gradshteyn IS, Ryzhik IM (2000) Table of integrals, series, and products, 6th edn. Academic Press, San DiegozbMATHGoogle Scholar
  2. Hildebrand FB (1956) Introduction to numerical analysis. McGraw-Hill, New YorkzbMATHGoogle Scholar
  3. Livesley RK (1975) Matrix methods of structural analysis. Pergamon Press, OxfordzbMATHGoogle Scholar
  4. Kaplan W (1984) Advanced Calculus, 3rd edn. Addison-Wesley, ReadingzbMATHGoogle Scholar
  5. Ralston A, Rabinowitz P (1978) A first course in numerical analysis. McGraw-Hill, LondonzbMATHGoogle Scholar
  6. Timoshenko SP, Young DH (1965) Theory of structures, 2nd edn. McGraw-Hill, New YorkGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Buntara Sthenly Gan
    • 1
  1. 1.Department of ArchitectureNihon University, College of EngineeringKoriyamaJapan

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