A Note on Stability of Longitudinal Vibrations of an Inhomogeneous Beam

• 作者: Ganesh Chandra Gorain Prasanta Kumar Nandi Samarjit Kar
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: INHOMOGENEOUS BEAM Longitudinal Vibrations UNIFORM Stabilization Energy DECAY ESTIMATE
• 年，卷（期）: 2012,（1）
• 页码范围: 19-23
• 页数: 5页
• 分类号: O1

摘要

In this paper, we have considered an inhomogeneous beam with a damping distributed along the length of the beam. The beam is clamped at both ends and is assumed to vibrate longitudinally. We have estimated the total energy of the system at any time t. By constructing suitable Lyapunov functional, it is established directly that the energy of this system decays exponentially.