Derivation and verification of minimum energy dissipation rate principle of fluid based on minimum entropy production rate principle

2016 ◽  
Vol 31 (1) ◽  
pp. 16-24 ◽  
Author(s):  
Guobin Xu ◽  
Lina Zhao ◽  
Chih Ted Yang
Keyword(s):  
Energy Dissipation ◽  
Entropy Production ◽  
Production Rate ◽  
Dissipation Rate ◽  
Minimum Energy ◽  
Energy Dissipation Rate ◽  
Entropy Production Rate ◽  
Minimum Entropy ◽  
Minimum Entropy Production ◽  
Minimum Energy Dissipation

From the Viewpoint of Water-Sediment Characters to Approach the General Criteria for Waterway Regulating with Complex Shoals

2013 ◽  
Vol 405-408 ◽  
pp. 1407-1410
Author(s):  
Zhao Cun Liu ◽  
Wei Jia Fan ◽  
Yao Chen Qin ◽  
Wei Yang Yan
Keyword(s):  
Equilibrium State ◽  
Minimum Energy ◽  
Energy Dissipation Rate ◽  
Channel Morphology ◽  
Entropy Production Rate ◽  
Minimum Entropy ◽  
Mountain Rivers ◽  
Minimum Entropy Production ◽  
Practical Engineering ◽  
Minimum Energy Dissipation

Compared with each other of existed schemes and effects of the waterway regulating with complex shoals, from the viewpoint of water-sediment interacting evolutional properties and their effects on complex shoals of waterway, the results show that, the evolutional processes of channel morphology observe the principles of maximum entropy in equilibrium state and minimum entropy production rate in non-equilibrium state, in energy words, it is the minimum energy dissipation rate. The vortex moving dominates the sediment transport. From the practical engineering viewpoint, the general criteria for waterway regulating with complex shoals were investigated, the results may be valuable to regulating study of the mountain rivers.

Computational Intelligence for Robust Control Algorithms of Complex Dynamic Systems with Minimum Entropy Production

1999 ◽  
Vol 3 (2) ◽  
pp. 82-98 ◽  
Author(s):  
S.V. Ulyanov ◽  
◽  
K. Yamafuji ◽  
V.S. Ulyanov ◽  
I. Kurawaki ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Entropy Production ◽  
Production Rate ◽  
Dynamic Systems ◽  
Fitness Function ◽  
Object Motion ◽  
Entropy Production Rate ◽  
Minimum Entropy ◽  
Minimum Entropy Production

Our thermodynamic approach to the study and design of robust optimal control processes in nonlinear (in general global unstable) dynamic systems used soft computing based on genetic algorithms with a fitness function as minimum entropy production. Control objects were nonlinear dynamic systems involving essentially nonlinear stochastic differential equations. An algorithm was developed for calculating entropy production rate in control object motion and in control systems. Part 1 discusses relation of the Lyapunov function (measure of stability) and the entropy production rate (physical measure of controllability). This relation was used to describe the following qualitative properties and important relations: dynamic stability motion (Lyapunov function), Lyapunov exponent and Kolmogorov-Sinai entropy, physical entropy production rates, and symmetries group representation in essentially nonlinear systems as coupled oscillator models. Results of computer simulation are presented for entropy-like dynamic behavior for typical benchmarks of dynamic systems such as Van der Pol, Duffing, and Holmes-Rand, and coupled oscillators. Parts 2 and 3 discuss the application of this approach to simulation of dynamic entropy-like behavior and optimal benchmark control as a 2-link manipulator in a robot for service use and nonlinear systems under stochastic excitation.

Computational Intelligence with New Physical Controllability Measure for Robust Control Algorithm of Extension- Cableless Robotic Unicycle

1999 ◽  
Vol 3 (2) ◽  
pp. 136-147
Author(s):  
V.S. Ulyanov ◽  
◽  
K. Yamafuji ◽  
S.V. Ulyanov ◽  
K. Tanaka ◽  
...  
Keyword(s):  
Robust Control ◽  
Entropy Production ◽  
Production Rate ◽  
Fitness Function ◽  
Control Object ◽  
Object Motion ◽  
Entropy Production Rate ◽  
Minimum Entropy ◽  
Physical Measure ◽  
Minimum Entropy Production

The biomechanical robotic unicycle system uses internal world representation described by emotion, instinct, and intuition. The basic intelligent control concept for a complex nonlinear nonholonomic biomechanical systems, as benchmark the <I>extension-cableless robotic unicycle,</I> uses a <I>thermodynamic approach</I> to study optimum control processes in complex nonlinear dynamic systems is represented here. An algorithm for calculating the entropy production rate is developed. A new physical measure, the minimum entropy production rate, is used as a Genetic Algorithm (GA) fitness function to calculate robotic unicycle robustness controllability and intelligent behavior. The interrelation between the Lyapunov function - a measure of stochastic stability - and the entropy production rate - the physical measure of controllability - in the biomechanical model is the mathematical background for designing soft computing algorithms in intelligent robotic unicycle control. The principle of minimum entropy production rate in control systems and control object motion in general is a new physical concept of smart robust control for the complex nonlinear nonholonomic biomechanical system, as benchmark, <I>extension-cableless robotic unicycle.</I>

scholarly journals Numerical Study on Stability of Rock Slope Based on Energy Method

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Wei Gao ◽  
Xu Wang ◽  
Shuang Dai ◽  
Dongliang Chen
Keyword(s):  
Energy Dissipation ◽  
Dissipation Rate ◽  
Rock Slope ◽  
Fractured Rock ◽  
Minimum Energy ◽  
Energy Dissipation Rate ◽  
New Method ◽  
The Stability ◽  
Stability Of Rock Slope ◽  
Minimum Energy Dissipation

To solve the main shortcoming of numerical method for analysis of the stability of rock slope, such as the selection the convergence condition for the strength reduction method, one method based on the minimum energy dissipation rate is proposed. In the new method, the basic principle of fractured rock slope failure, that is, the process of the propagation and coalescence for cracks in rock slope, is considered. Through analysis of one mining rock slope in western China, this new method is verified and compared with the generally used strength reduction method. The results show that the new method based on the minimum energy dissipation rate can be used to analyze the stability of the fractured rock slope and its result is very good. Moreover, the new method can obtain less safety factor for the rock slope than those by other methods. Therefore, the new method based on the minimum energy dissipation rate is a good method to analyze the stability of the fractured rock slope and should be superior to other generally used methods.

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