Comparing Undamped Natural Frequencies of a Mechanical System Using ANSYS and MATLAB Results

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This document outlines the analysis of a mechanical system composed of two masses (m1 = 5.8 kg and m2 = 3.2 kg) and three springs with specified stiffness values (k1, k2, k3) and damping coefficients (c1, c2, c3). The goal is to find the undamped natural frequencies using ANSYS software. Additionally, the results from ANSYS will be compared with those obtained from a previous MATLAB analysis, where the natural frequencies were determined to be f1 = 4.6549 Hz and f2 = 8.4979 Hz. The mechanical system's dynamic behavior is critical for understanding its performance.

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Feb 20, 2026

1 mechanical system 2 undamped natural frequencies 3 ansys analysis 4 matlab comparison 5 massspringdamper 6 lagrange equation 7 dynamic behavior 8 natural frequencies text

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Comparing Undamped Natural Frequencies of a Mechanical System Using ANSYS and MATLAB Results

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Homework 02 ANSYS: Problem 1: (The system in Homework 01C- Problem 5)
k3 c3 f2 x2 m2 k2 c2 f1 x1 m1 k1 c1 Problem 1: m1=5.8 kg, m2=3.2 kg, k1=4325 N/m, k2=3850 N/m, k3=3500 N/m, c1=37.2 Ns/m, c2=33.5 Ns/m, c3=32 Ns/m. In the system as shown in the figure, f1 and f2 are the inputs, x1 and x2 generalized coordinates. Find undamped natural frequencies of the systemby ANSYS in Hz. In Homework 01C- Problem 5, the mathematical model is established by using Lagrange equation and the following results are found by MATLAB. f1=4.6549 Hz, f2=8.4979 Hz Compare the results with the results found by ANSYS.