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...

In this paper a mixed-paradigm piano model is presented. The major development is the ability of modeling longitudinal string vibrations. Longitudinal string motion is the reason for the metallic sound of low piano notes, therefore its modeling greatly improves the perceptual quality of synthesized piano sound. In this novel approach the transversal displacement of the string is computed by a f...