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CRITICAL DAMPING OF THE SECOND-ORDERPENDULUM-LIKE SYSTEMS
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作者 李鑫滨 黄永念 +1 位作者 杨莹 黄琳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第1期7-16,共10页
First,the properties of solutions of a typical second-order pendulum-like system with a specified nonlinear function were discussed.Then the case with a general form of nonlinearity is considered and its global proper... First,the properties of solutions of a typical second-order pendulum-like system with a specified nonlinear function were discussed.Then the case with a general form of nonlinearity is considered and its global properties were studied by using the qualitative theory of differential equations.As a result,sufficient conditions for estimating the critical damp are established,which improves the work by Leonov et al. 展开更多
关键词 pendulum-like system Lagrange stability gradient-like behavior limit cycles of the second kind
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The Generalized Thermodynamic Temperature and the New Expressions of the First and the Second Law of Thermodynamics 被引量:3
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作者 HU Yacai CHEN Qi HU Yayuan 《Journal of Thermal Science》 SCIE EI CAS CSCD 2016年第1期1-6,共6页
The classical thermodynamics reflects the significant relationship between the heat and the temperature. On the basis of the relationships, according to the mathematical derivation, this paper structures the conceptio... The classical thermodynamics reflects the significant relationship between the heat and the temperature. On the basis of the relationships, according to the mathematical derivation, this paper structures the conceptions of generalized heat, generalized thermodynamic temperature, generalized entropy and so on. The series of conceptions in the classical thermodynamics is merely a special case of the generalized thermodynamics. Based on these conceptions of generalized thermodynamics, this paper presents the new expressions of the first law and the second law of thermodynamics. In other words, these expressions are endued with new explanations. The Eq. LZ = kTS given by this paper provides theoretical basis for these new expressions. 展开更多
关键词 Generalized thermodynamic temperature First law of thermodynamics second law of thermodynamics Generalized Carnot cycle Generalized Clausius inequality
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