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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 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...
  3. 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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