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Asymptotic Behaviour to a Von Karmrman System with internal damping

Applied Mathematics 2012年第3期3卷 210-212页

作者： Ducival CPereira Carlos ARaposo Celsa HMMaranhao Departament of Mathematics Para State UniversityUEPABelemBrazil Departament of Mathematics Federal University of Sao Joao Del-ReiUFSJSao Joao Del-ReiBrazil Departament of Mathematics Federal University of ParaUFPABelemBrazil

In this work we consider the Von Kármán system with internal damping acting on the displacement of the plate and using the Theorem due to Nakao [1] we prove the exponential decay of the solution.

关键词： Von Karman System internal damping Exponential Decay Theorem of Nakao

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A direct and elementary proof of the stabilization for the wave equation with nonlinear internal damping

A direct and elementary proof of the stabilization for the w...

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第十九届中国控制会议

作者： Wei-Tao Zhang Institute of Systems Science, Academy of Mathematics and Systems Science, The Chinese Academy of Sciences, Beijing 100080, China.

Using a technique in [4-7] and some integral inequalities due to Haraux and Komornik, one gave a direct and elementaty proof of the stabilization for the wave equation with nonlinear internal damping, extended and uni... 详细信息

关键词： wave equation internal damping stabilization

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Global Smooth Solutions for Quasilinear Wave Equation with Locally internal damping

Global Smooth Solutions for Quasilinear Wave Equation with L...

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第二十六届中国控制会议

作者： Zhang Zhifei,Yao Pengfei Academy of Mathematics and Systems Science,Chinese Academy of Sciences Key Laboratory of Control and System,Beijing 100080,P.R.China

We study the existence of global smooth solutions for the quasilinear wave equations with internal locally damping when initial data are near a given *** interest is to study the effect of the damping region which guarantees the existence of global *** results show that the structure of the damping region depends on geometric properties of a Riemannian metric,given by the variable coefficients and the equilibrium of the *** geometrical conditions are presented to obtain the damping region.

关键词： Quasilinear wave equation Riemannian metric internal damping

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Estimation of the internal and external damping from the forward and backward spectrum of a rotor with a fatigue crack

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Propulsion and Power Research 2020年第1期9卷 62-74页

作者： Dipendra Kumar Roy Rajiv Tiwari Department of Mechanical Engineering Indian Institute of Technology GuwahatiAssam781039India Faculty of Mechanical Engineering Indian Institute of Technology GuwahatiAssam781039India

Both internal and external damping are concurrently present in a rotor ***,the internal damping that originates from various sources often leads to instability in the rotor system,and hence its accurate estimation is *** goal of the present paper is to distinctly estimate both external and internal damping in a Jeffcott rotor containing transverse *** modelling of the fatigue crack is based on the assumption of a switching crack,which additionally provides the internal damping due to rubbing on crack faces,which is hardly addressed in ***,the fatigue crack leads to the forward and backward whirls due to asymmetry in the *** the process of development of the identification procedure in the form of the regression equation for the estimation of internal damping,other important unknown rotor system parameters,like the external damping,unbalance and loss of stiffness of the shaft due to the crack,are also *** reduces the estimation error of the internal damping due to reduction in deviations of other model *** simulated responses are obtained from equations of motion of the rotor system in the form of a closed-form expression and by the Runge-Kutta integration *** full-spectrum response data(both magnitude and phase)are utilized during the testing of the proposed identification *** corrections have been incorporated in the *** noise is added in numerical responses during identification of parameters to check the robustness of the algorithm and found to be working satisfactorily.

关键词： internal damping External damping Switching crack Unbalance Full spectrum

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Inner Attitude Integration Algorithm Based on Fault Detection for Strapdown Inertial Attitude and Heading Reference System

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Chinese Journal of Aeronautics 2010年第1期23卷 68-74页

作者： Liu Jianye,Zhu Yanhua,Lai Jizhou,Yu Yongjun Navigation Research Center,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China Navigation Research Center Nanjing University of Aeronautics and Astronautics Nanjing 210016 China

This article proposes a new inner attitude integration algorithm to improve attitude accuracy of the strapdown inertial attitude and heading reference system （SIAHRS） , which, by means of a Kalman filter, integrates the calculated attitude from the accelerometers in inertial measuring unit （IMU） , called damping attitudes, with those from the conventional IMU. As vehicle＇ s acceleration could produce damping attitude errors, the horizontal outputs from accelerometers are firstly used to judge the vehicle＇ s motion so as to determine whether the damping attitudes could be reasonably applied. This article also analyzes the limitation of this approach. Furthermore, it suggests a residual chi-square test to judge the validity of damping attitude measurement in real time, and accordingly puts forward proper information fusion strategy. Finally,the effectiveness of the proposed algorithm is proved through the experiments on a real system in dynamic and static states.

关键词： navigation strapdown inertial attitude and heading reference system inner attitude integration algorithm internal damping Kalman filter residual chi-square test

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