CAE (I) Chapter 15. Structural Dynamic Analysis

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Page 20

Alpha & Beta Dampings

a

  • a is the viscous damping component and also known as mass damping

  • Specified only if viscous damping is dominant, such as in underwater applications, shock absorbers, or objects facing wind resistance.

  • If beta damping is ignored, a can be calculated from a known value of x and a known frequency w: a = 2xw (pick the most dominant response frequency to calculate a).

  • b is the hysteresis damping component and also known as stiffness damping.

  • Inherent property of most materials.

  • Specified per material (as material property DAMP) or as a single, global value (BETAD).

  • If alpha damping is ignored , b can be calculated from a known value of x and a known frequency w: b = 2x/w (pick the most dominant response frequency to calculate b).

  • To Specify Both a and b Damping

  • Since there are two unknowns, assume that the sum of a and b damping gives a constant damping ratio x over the frequency range w1 to w2. This gives two equations from which we can solve for a and b.

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