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兩支鏈三平移并聯(lián)機構(gòu)動力學(xué)分析與性能優(yōu)化
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國家自然科學(xué)基金項目(51975062、51378062)


Dynamics Analysis and Performance Optimization of Two-chain and Three-translation Parallel Mechanism
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    摘要:

    對前期提出的三平移并聯(lián)機構(gòu)2P4R(Pa)-PR(Pa)R進(jìn)行了動力學(xué)分析及其性能優(yōu)化。首先,基于該機構(gòu)的符號式位置正解,直接求得其各桿件(角)速度和(角)加速度;然后,采用基于虛功原理的序單開鏈法,對該機構(gòu)進(jìn)行動力學(xué)建模,并通過比較3個驅(qū)動力的理論計算值與仿真結(jié)果,驗證了動力學(xué)建模的正確性;進(jìn)一步,以桿件長度和質(zhì)量參數(shù)作為設(shè)計變量,以可達(dá)工作空間和能量傳遞效率兩種性能指標(biāo)為目標(biāo)函數(shù),對該機構(gòu)進(jìn)行運動學(xué)和動力學(xué)性能的二級遞進(jìn)優(yōu)化,得到機構(gòu)在上述兩種性能指標(biāo)下的最優(yōu)解,使機構(gòu)可達(dá)工作空間性能指標(biāo)提高56.2%,全局能量傳通效率性能指標(biāo)提高63.6%,為機構(gòu)設(shè)計與樣機研制奠定了基礎(chǔ)。

    Abstract:

    Dynamic analysis and performance optimization of the threetranslation parallel mechanism(PM)2P4R(Pa)-PR(Pa)R proposed by the authors were performed. Firstly, based on the symbolic positive solution of the mechanism, the (angular) velocity and (angular) acceleration of each member were obtained directly. Then, the dynamic model of the mechanism was established by using the sequential single-open-chain (SOC) method based on the virtual work principle. The SOC was taken as the basic unit, and the coefficient matrix of the dynamic equation can be directly called by the results of the mechanism velocity analysis, which improved the calculation efficiency. The correctness of the dynamic modeling was verified by comparing the theoretical calculation values of the three driving forces with the simulation results. Further, based on the differential evolution algorithm, taking the length and mass parameters of the rod as the design variables and the two performance indexes of reachable workspace and energy transfer efficiency as the objective functions, the two-level progressive optimization of the kinematic and dynamic performance of the mechanism was carried out, and the optimal solution of the mechanism under the above two performance indexes was obtained, which laid a foundation for the design of mechanism and the development of prototype. The three-translation parallel mechanism not only had analytic positive solution, but also had partial input-output motion decoupling, which was conducive to the trajectory planning and motion control of the mechanism. The mechanism was suitable for handling, grasping, loading and unloading of large-size workpieces along the length direction.

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李菊,肖思進(jìn),沈惠平,趙一楠,楊廷力.兩支鏈三平移并聯(lián)機構(gòu)動力學(xué)分析與性能優(yōu)化[J].農(nóng)業(yè)機械學(xué)報,2022,53(10):412-422. LI Ju, XIAO Sijin, SHEN Huiping, ZHAO Yi'nan, YANG Tingli. Dynamics Analysis and Performance Optimization of Two-chain and Three-translation Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2022,53(10):412-422.

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  • 收稿日期:2021-10-02
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  • 在線發(fā)布日期: 2021-12-13
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