Two Dimensional FEM Simulation of Ultrasonic ... - COMSOL.com

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Numerical Simulation of UltrasonicWave Propagation using COMSOL ®Thumb Rule ?•Length ofElement (∆x) = λ/12•Time Step = ∆x/C phInitial DisplacementDisplacement at diff positions with timeSolution at 7.0×10 -5 sSolution at 1.7×10 -4 s
Materials & Ultrasonic WaveProperties Young’s s Modulus (E) = 2 × 10 11 Pa Poisson’s s ratio (ν)() = 0.33 Density (ρ)() = 7850 kg/m3 Ultrasonic velocity (C L) (longitudinalwave) = 5850 m/s Frequency of incident ultrasonic wave (f)(= 20 kHz = 20×103 s -1 Wavelength of the longitudinal ultrasonicwave (λ(L) = C L/f = 0.2925 m Source Length : 0.04 m (40 mm)(located at the middle) Source Excitation : On a line and pointson line Simulation Domain : 5.0 m (L) x 2.5 m(H)D isplac em ent (m )6420-2-4-6-8-100 0.5 1 1.58 x Time (s)x 10 -4|Y(f)|54.543.532.521.510.5x 10 -7Single-Sided Amplitude Spectrum of y(t)(Hanning windowed signal)0 2 4 6 8 10 12 14 16 18 20Frequency (Hz)x 10 4
Page 1 and 2: Presented at the COMSOL Conference
Page 3: Transient Analysis for WavePropagat
Page 7 and 8: Effect of Length of Element (∆x)(
Page 9 and 10: Onward Propagating Wave for Differe
Page 11 and 12: ∆t= 10×10Case: I λ L /∆xmax=
Page 13 and 14: Case: III λ L /∆xmax= = 12∆t=
Page 15 and 16: Effect of Excitation on Line and Po
Page 17 and 18: Time and Frequency Domain Signal fo
Page 19 and 20: Simulation Results for λ L /∆x m
Page 21 and 22: Simulation Results for λ L /∆x m
Page 24: E-mail:ghose.bikash@hemrl.drdo.in ,

Two Dimensional FEM Simulation of Ultrasonic ... - COMSOL.com

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