Behavior of a curved 2D sheet and a curved 1D wire under acoustic wave

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Discussion Overview

The discussion revolves around the behavior of curved 2D sheets and 1D wires when subjected to acoustic waves, specifically focusing on the response of these structures to multiple frequencies. The inquiry includes seeking resources for understanding the effects of acoustic excitation on mathematical representations of wires and surfaces.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant inquires about the behavior of a stiff wire represented by a polynomial or exponential function when excited by an acoustic wave with multiple frequencies.
  • Another participant suggests that a Frequency Response analysis using Finite Element Method (FEM) could be appropriate for modeling the response of both wires and surfaces.
  • It is proposed that Timoshenko's 'Theory of Plates & Shells' could serve as a useful reference for understanding the behavior of surfaces under acoustic excitation.
  • Complex shapes are noted to respond in complex ways to acoustic waves, with acoustic impedance and boundary conditions being significant factors in their response.
  • One participant emphasizes the necessity of using FEM or experimental modeling to analyze the behavior of complex shapes under acoustic waves.

Areas of Agreement / Disagreement

Participants generally agree on the complexity of the response of curved structures to acoustic waves and the necessity of FEM for analysis. However, there is no consensus on specific methodologies or solutions, as the discussion remains exploratory.

Contextual Notes

The discussion highlights the limitations of analytical solutions for the proposed problems and acknowledges the complexity involved in modeling the responses of curved structures to acoustic waves.

Who May Find This Useful

Researchers and students interested in the effects of acoustic waves on structural materials, particularly in the context of finite element analysis and complex geometries.

Seanskahn
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TL;DR
How do complex shapes respond to acoustic waves?
Good day.

We know how simple objects, such as 1D wires behave when a simple harmonic wave travels along a wire, or two wires knotted togethe.We also know what happens if you excite a circular thin disc with a single frequency.

Are there some material I can read on, that considers the effect of exciting a stiff wire given by y = f(x) , for a polynomial or exponential function f, excited by an acoustic wave comprising of multiple frequencies?

While we are at it how does a surface given by z = f(x,y) respond if several acoustic waves are falling on it, each at a different point, each comprising of multiple frequencies?

I understand that an analytical solution would be very complicated.

I am not requesting you to solve it for me, I just want you to direct my to some study / research material in this direction.

Thank you.
 
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Sounds like you want to do a Frequency Response analysis using FEM. A surface can probably best be modeled by shell elements, so Timoshenko's canonical 'Theory of Plates & Shells' might be a good reference.

You can also model wires with FEM. So any reference on FEM theory, numerical analysis and theory of elasticity would help I guess. There are tons of books about that.
 
Seanskahn said:
How do complex shapes respond to acoustic waves?
Welcome to PF.
Complex shapes respond in complex ways.
The acoustic impedance and the degree of freedom at boundaries or attachment points will be important. You have no choice but to use FEM, or to build and test a model.
 
Baluncore said:
Welcome to PF.
Complex shapes respond in complex ways.
The acoustic impedance and the degree of freedom at boundaries or attachment points will be important. You have no choice but to use FEM, or to build and test a model.
Thank you for your answer.
I know how to proceed now.
Enjoy your weekend.
 

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