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Chap 6. Properties of Vibrating Systems

Chap 6. Properties of Vibrating Systems. 6.1 Flexibility Influence Coefficient. For static. Equilibrium position. Strain Energy. where energy density function. Complementary Energy density function. For linear elastic behavior ,. Total potential energy Complementary work(energy).

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Chap 6. Properties of Vibrating Systems

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  1. Chap 6. Properties of Vibrating Systems

  2. 6.1 Flexibility Influence Coefficient

  3. For static

  4. Equilibrium position

  5. Strain Energy where energy density function Complementary Energy density function

  6. For linear elastic behavior, Total potential energy Complementary work(energy) First Castigliano Theorem Total potential energy

  7. The Second Castigliano Theorem Total Complementary energy For linear elastic

  8. ② ① Maxwell’s Reciprocal Theorem Betti’s Reciprocal Theorem

  9. 6.2 Reciprocity Theorem (Maxwell’s)

  10. 6.3 Stiffness Influence Coefficient

  11. 6.6 Othogonality of Eigenvectors

  12. 6.7 Modal Matrix orthonormality orthogonality

  13. 6.8 Decoupling Forced Vibration Equations

  14. 6.9 Modal Damping Rayleigh damping

  15. 6.11 Equal Roots

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