Transverse Vibration Characteristics of Clamped-Elastic Pinned Beam Under Compressive Axial Loads

Abstract Based on the Bernoulli–Euler theory, vibration characteristics of a clamped-elastic pinned beam under elastic constraint and compressive axial loads are derived verified by finite element method. The results examples show that natural frequency decreases with increase increases stiffness. When stiffness from 10 4 to 8 N/m, first-order becomes 4.24 times, second-order 2.19 third-order 1.57 times; when is weak, change mainly reflected in first mode shape. 20%, modal changes 3%, less than 1%. range constraints significant frequencies higher-order modes larger. taken 100EI/l 3 , tends be flat, about five times first-order, 15 or more.