Dynamic Response Analysis

This section gives you formulas to calculate excitation in a harmonic dynamic response case or in a transient dynamic response case.

To know more about the load excitation and the restraint excitation, refer to Defining a Load Excitation Set and Defining a Restraint Excitation Set.

Note that: Excitation is only available with the Generative Dynamic Response Analysis (GDY) product .

Load excitation in frequency domain
Load excitation in time domain
Restraint excitation in frequency domain
Restraint excitation in time domain


Load excitation in frequency domain

The formula corresponding to the Load Excitation Set dialog box in a harmonic dynamic response case is:

where:

  • f is a frequency
  • Fk is the static load
  • Mk(f) is the frequency modulation
  •  is the phase
  • Ck is the factor

The user interface looks like:

In this particular example:

k = 1 ; F1 = Loads.1 ; M1(f) = White Noise.1 = 1 f ; C1 = 1 ; = 0 deg = 0 rad


Load excitation in time domain

The formula corresponding to the Load Excitation Set dialog box in a transient dynamic response case is:

where:

  • t is the time
  • Fk is the static load
  • Mk(t) is the time modulation
  • Ck is the factor

The user interface looks like:

In this particular example:

k = 1 ; F1 = Loads.1 ; M1(t) = Time Modulation.1 ; C1 = 1


Restraint excitation in frequency domain

The formula corresponding to the Restraint Excitation Set dialog box in a harmonic dynamic response case is:

where:

  • f is the frequency
  • is the value of acceleration corresponding to the degree i of the vector
  • M i (f) is the frequency modulation corresponding to the degree i of the vector
  •  is the phase corresponding to the degree i of the vector

The user interface looks like:

In this particular example:

; M1(f) = White Noise.1 = 1 f ; M2(f) = ... = M6(f) = 0 ; = 180 deg = rad


Restraint excitation in time domain

The formula corresponding to the Restraint Excitation Set dialog box in a transient dynamic response case is:

where:

  • t is the time
  •  is the value of acceleration corresponding to the degree i of the vector
  • M i (t) is the time modulation corresponding to the degree i of the vector

The user interface looks like:

In this particular example:

; M1(t) = Time Modulation.1 ; M2(t) = M3(t) = 0