Solving frictional contact problems by two aggregate-function-based algorithms

He, Shanying; Zhang, Hongwu; Li, Xingsi

doi:10.1007/s10409-005-0052-8

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…We can use the principle for different material separating in mining and metallurgical industries [1][2][3]. Moreover, new type sensors [4], dampers [5]and bearings [6] of magnetic fluid also can be designed with this principle.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study on the Second-Order Buoyancy of Magnetic Fluid

Wen

et al. 2012

KEM

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The buoyancy principle of magnetic fluid is one of the most attractive effects of magnetic fluid statics. But it is too difficult to calculate the buoyancy directly due to the complexity of magnetic field. Moreover, numerical calculation employs too many assumptions. So in this paper the experimental method is adopted to measure the second-order buoyancy received by permanent magnet immersed in magnetic fluid, which depends on the distance between the magnet and the wall of vessel. The influence of the diameter of cylindrical vessels, the size of magnets and the saturation magnetization of magnetic fluid on the buoyancy is also analyzed qualitatively.

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Section: Introductionmentioning

confidence: 99%

Experimental Study on the Second-Order Buoyancy of Magnetic Fluid

Wen

et al. 2012

KEM

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Some Properties for Adjustable Entropy Function Method and Its Application to Power Systems Dynamic Economic Dispatch with Wind Integrated

Ren

2021

Journal of Electrical and Computer Engineering

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With the continuous development of the world economy, the development and utilization of environmentally friendly and renewable energy have become the trend in many countries. In this paper, we study the dynamic economic dispatch with wind integrated. Firstly, we take advantage of the positive and negative spinning reserve to deal with wind power output prediction errors in order to establish a dynamic economic dispatch model of wind integrated. The existence of a min function makes the dynamic economic dispatch model nondifferentiable, which results in the inability to directly use the traditional mathematical methods based on gradient information to solve the model. Inspired by the aggregate function, we can easily transform the nondifferentiable model into a smooth model when parameter p tends to infinity. However, the aggregate function will cause data overflow when p tends to infinity. Then, for solving this problem, we take advantage of the adjustable entropy function method to replace of aggregate function method. In addition, we further discuss the adjustable entropy function method and point out that the solution generated by the adjustable entropy function method can effectively approximate the solution of the original problem without parameter p tending to infinity. Finally, simulation experiments are given, and the simulation results prove the effectiveness and correctness of the adjustable entropy function method.

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Solving frictional contact problems by two aggregate-function-based algorithms

Cited by 2 publications

References 13 publications

Experimental Study on the Second-Order Buoyancy of Magnetic Fluid

Experimental Study on the Second-Order Buoyancy of Magnetic Fluid

Some Properties for Adjustable Entropy Function Method and Its Application to Power Systems Dynamic Economic Dispatch with Wind Integrated

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