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Modal Time History Analysis - Advanced Options

The Advanced tab in the Modal Time History dialog box sets the numerical integration method and its parameters.

  • Newmark: The uncoupled equations of motion are solved with the Newmark time-stepping method.

For a linear variation of acceleration between time-steps, select:

  • First integration parameter  a =0.5

  • Second integration parameter beta = 1/6

For a constant acceleration between time-steps, select:

  • a = 0.5 and beta =0.25.

  • Wilson-Theta: The Wilson-Theta method of integration is used to solve the uncoupled equations of motion.

Theta. The value of theta controls the numerical stability

For theta = 1, the solution formulation is similar to the Newmark's linear acceleration method.

For theta greater or equal to 1.37, the Wilson's method is unconditionally stable.

Related Topics

Modal Analysis



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