Transient response of a spring mass system
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The document describes a spring-mass system with two masses (m1 and m2) connected by two springs (k1 and k2). It provides the system parameters and models a step force drop of 50N at t=1.8 seconds falling to 0N. It then calculates and compares the displacement response (x1 and x2) of the two masses at times t=1.3s and t=2.4s using the given equations and ANSYS software.
Transient response of a spring mass system
- 1. Transient Response of a Spring-mass System Sanjeet Kumar Singh
- 2. A system containing two masses, m1 and m2, and two springs of stiffness k1 and k2. Determine the displacement response of the system for the load history E = 2e11 Pa γ = 0.3 ρ = 0.25 kg/m3 k2 = 6 N/m k1 = 16 N/m m2 = 2 kg m1 = 2kg F(t) F(t) t Fo=50N Calculate the response x1 , m (@ t = 1.3s) X 2, m (@ t = 1.3s) X1, m (@ t = 2.4s) X2, m (@ t = 2.4s) td=1.8 sec
- 3. 2 Blocks = 2m x 2m x 2m Length of L1 spring = 6m Length of L2 spring = 7m Fixed End The step drop is modeled as F0 = 50 N @ t = 1.8 sec and F0 = 0 N @ t = 1.80001 sec.
- 8. Results Target ANSYS Workbench X1, m (@ t = 1.3s) 14.48 14.17 X2, m (@ t = 1.3s) 3.99 3.8297 X1, m (@ t = 2.4s) 18.32 18.68 X2, m (@ t = 2.4s) 6.14 6.2584 Results Comparison