Acoustic analyses using Matlab® and Ansys® by Carl Q Howard; Benjamin S Cazzolato

By Carl Q Howard; Benjamin S Cazzolato

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Each mode can be multiplied by a modal participation factor Pn , then summed to calculate the total response of the beam Pn ψn . Any complicated displacement shape can be represented by a weighted sum of a sufficiently large number of modes. A similar acoustic analogy exists where any complicated acoustic response of a system can be represented by a weighted sum of a sufficiently large number of mode shapes of the acoustic system. 4 Schematic of the concept of modal summation, where fractions (modal participation factors) Pn of each mode shape ψn contribute to the total response of the system.

Background number of zero energy modes that are associated with shearing mechanisms in the fluid, and these results have no relevance. A 3-dimensional (spatial) displacement-formulated acoustic element has 3 displacement DOFs. In comparison, a 3-dimensional (spatial) pressureformulated acoustic element has 3 displacement DOFs and 1 pressure DOF, a total of 4 DOFs. It is conceptually easier to understand the fluid–structure interaction mechanism by considering displacement-formulated acoustic elements and structural elements.

Analysis Types That Can Be Conducted with the FLUID29 Element . . . . . . . . . . . . . . . . FLUID30 Element Summary . . . . . . . . . . Analysis Types That Can Be Conducted with the FLUID30 Element . . . . . . . . . . . . . . . . FLUID129 Element Summary . . . . . . . . . . Analysis Types That Can Be Conducted with the FLUID129 Element . . . . . . . . . . . . . . . FLUID130 Element Summary . . . . . . . . . . Acoustic Bodies Available in the ACT Acoustics Extension .

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