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3-P(4S)并聯(lián)機構(gòu)分析與多目標性能優(yōu)化
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國家自然科學基金項目(51375420)和河北省科技計劃項目(14961812D)


Mechanism Analysis and Multi-target Performance Optimization of 3-P(4S) Parallel Mechanism
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    摘要:

    針對3-P(4S)并聯(lián)平臺,首先對其進行了位置反解,提出了由BP神經(jīng)網(wǎng)絡和擬Newton法相結(jié)合的混合數(shù)值法,并以此對機構(gòu)進行了位置正解,求解精度可達到10-8數(shù)量級,求解時間在20ms內(nèi)。然后通過對位置解求導可得到機構(gòu)動平臺和分支桿件的速度和加速度。根據(jù)運動學分析的結(jié)果,應用牛頓歐拉方法構(gòu)建該機構(gòu)的動力學模型,并對機構(gòu)的數(shù)值算例進行了動力學仿真驗證。最后綜合考慮機構(gòu)的動力學性能、剛度性能和速度性能,分別推導了其評價指標,并應用改進的加權(quán)求和法對該機構(gòu)進行多目標的尺寸優(yōu)化。通過多目標的尺寸優(yōu)化,該機構(gòu)的動力學性能和速度性能提升了2倍,剛度性能提升了3倍。

    Abstract:

    The object was to solve the dynamics analysis and multi-target performance optimization of 3-P(4S) parallel mechanism. Firstly, inverse kinematics of 3-P(4S) parallel mechanism was solved, and hybrid numerical algorithm was proposed, which was composed of BP neural network and quasi-Newton method algorithm. The algorithm could solve the forward kinematics of 3-P(4S) parallel mechanism in less than 20ms by three step iterations, and the accuracy was on the level of 10-8, which can realize the high accuracy and real-time control of 3-P(4S) parallel mechanism. Then the velocity and acceleration of the moving platform and limbs were obtained by the derivative of the position solution. According to the results of kinematic analysis, the dynamic model of the mechanism was constructed by Newton Euler method, and the dynamic simulation of the numerical example was utilized to verify the dynamic model of 3-P(4S) parallel mechanism. From the verification results, both of the two were exactly the same. Finally, considering the dynamic performance, stiffness performance and speed performance of the 3-P(4S) parallel mechanism, an improved genetic algorithm was utilized to optimize the 3-P(4S) parallel mechanism. Through the multi-objective performance optimization, the dynamic performance and speed performance of the mechanism were improved by two times, and the stiffness performance was increased by three times.

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趙星宇,趙鐵石,云軒,王文超,田昕,李忠杰.3-P(4S)并聯(lián)機構(gòu)分析與多目標性能優(yōu)化[J].農(nóng)業(yè)機械學報,2017,48(10):390-400. ZHAO Xingyu, ZHAO Tieshi, YUN Xuan, WANG Wenchao, TIAN Xin, LI Zhongjie. Mechanism Analysis and Multi-target Performance Optimization of 3-P(4S) Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2017,48(10):390-400.

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  • 收稿日期:2017-02-19
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  • 在線發(fā)布日期: 2017-10-10
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