A New Differential Operator Method to Study the Mechanical Vibration

• 作者: Linhong Ji Quansheng Ji Xiaomei Ji Yuxi Zheng
• 来源期刊: 现代机械工程(英文)
• 学科: 数学
• 关键词: NEW DIFFERENTIAL Operator METHOD Mechanical VIBRATION (Torsional VIBRATION of Rolling-Mill) Torque AMPLIFICATION Factor Model Analysis METHOD LAPLACE Transform
• 年，卷（期）: 2012,（3）
• 页码范围: 65-70
• 页数: 6页
• 分类号: O1

摘要

In this paper, we propose a unified differential operator method to study mechanical vibrations, solving inhomogeneous linear ordinary differential equations with constant coefficients. The main advantage of this new method is that the differential operator D in the numerator of the fraction has no effect on input functions (i.e., the derivative operation is removed) because we take the fraction as a whole part in the partial fraction expansion. The method in various variants is widely implemented in related fields in mechanics and engineering. We also point out that the same mistakes in the differential operator method are found in the related references [1-4].