Matrix analysis and vibrations

矩阵分析和振动

• 批准号: 3043-2009
• 负责人: Lancaster, Peter
• 金额: $ 1.17万
• 依托单位: University of Calgary
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2009
• 资助国家: 加拿大
• 起止时间: 2009-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=419656
• 关键词: Matrix; analysis; vibrations

Many physical systems (aircraft, violins, oceans, vibrators, skyscrapers, etc.) have oscillatory behaviour in some form. This behaviour may be beneficial, harmless, or catastrophic depending on the applied loads and the environment. However, mathematical models which are used to analyse vibrations have certain common features and, particularly in the regime of small vibrations, linear models achieve extraordinary success in the prediction and modification of oscillations. Theories

许多物理系统（飞机、小提琴、海洋、振动器、摩天大楼等）都具有某种形式的振荡行为。 根据所施加的负载和环境，这种行为可能是有益的、无害的或灾难性的。然而，用于分析振动的数学模型具有某些共同特征，特别是在小振动范围内，线性模型在振动的预测和修正方面取得了非凡的成功。理论