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  1. mxl9549

    Velocity of a sound wave in a heterogeneous medium (2 materials with an interface)

    Q) When a sound wave is traveling through a structure made of 2 materials (i and ii in 1D dimension), there is a reflection and transmission of the sound wave at the interface. Does reflection or transmission affect the speed of sound within any of the media?. I understand that speed of sound...
  2. mxl9549

    How do I solve cantilever bar made up of two materials analytically (dynamic analysis)?

    Hello BridgeSmith, Thank you for the response. In this problem I'm solving for displacement only. 1. The blue color section is fixed at the left end. So, the BC is u1(x=0,t) = 0. 2. Now, if I consider the yellow section the left boundary is the right boundary of the blue section. So, can we...
  3. mxl9549

    How do I solve cantilever bar made up of two materials analytically (dynamic analysis)?

    Hello Eng-Tips team, I am trying to solve the below problem analytically ∇∙σ + 𝑏_𝑥 = 𝜌 (𝜕^2 𝑢)/(𝜕𝑡^2 ) --> (1) is the governing equation [Note: In the above problem, b_x = 0 (no body forces)] IC: u(x,0) = v(x,0) = 0 BC: u(0,t) =0; u'(x=1,t) = F(t)/(A*E2) [Note: Since force (F(t)) is applied...
  4. mxl9549

    Longitudinal vibration in a bar that is clamped at left end and F(t) applied at the free end

    Hello, WARose's (Structural), Thank you so much for responding. Yes, it is an elastic wave propagation problem and I am looking to simulate longitudinal waves. The problem is a 1-D bar fixed at the left end and F(t) applied at the right end. This problem is similar to what the researchers from...
  5. mxl9549

    Longitudinal vibration in a bar that is clamped at left end and F(t) applied at the free end

    I am performing a very basic FEM dynamic analysis. I am trying to find out how each node in the bar deforms in this analysis. (1). For example, when I am using just 1 truss element: Step1: Found the natural frequency (f) of the bar(using frequency analysis) Step2: Found time period (T) = 1/f...

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