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基于改進(jìn)三次B樣條的灌木修剪運(yùn)動(dòng)軌跡光順?biāo)惴ㄑ芯?/div>
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國(guó)家重點(diǎn)研發(fā)計(jì)劃項(xiàng)目(2016YFD0701501)


Trajectory Fairing Algorithm for Shrub Pruning Based on Improved Cubic B-spline
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    摘要:

    針對(duì)復(fù)雜造型灌木修剪過程中機(jī)器人末端運(yùn)動(dòng)平穩(wěn)性差的問題,提出了一種基于雙切矢連續(xù)的改進(jìn)三次B樣條軌跡光順?biāo)惴?。首先建立了線性軌跡拐角過渡模型,利用B樣條曲線局部性質(zhì)構(gòu)造銜接點(diǎn)切矢約束,使初始不平滑的修剪軌跡經(jīng)光順處理后可達(dá)到G 2連續(xù);其次構(gòu)建平面多段軌跡在不同光順?biāo)惴ㄏ碌倪^渡曲線,經(jīng)對(duì)比分析,本算法所構(gòu)造的過渡曲線在相同逼近誤差下,相比傳統(tǒng)圓弧過渡算法曲率極值降低40.5%,相比傳統(tǒng)三次B樣條過渡算法在銜接點(diǎn)處曲率更加連續(xù),整體光順效果更優(yōu);最后為驗(yàn)證算法對(duì)空間修剪軌跡的光順效果,建立了5軸關(guān)節(jié)機(jī)器人模型進(jìn)行鴨形軌跡修剪仿真,結(jié)果表明本算法可使機(jī)器人末端速度極值提升13.5%,加速度極值降低86.9%,機(jī)器人各關(guān)節(jié)運(yùn)動(dòng)更平穩(wěn),驗(yàn)證了本算法在復(fù)雜修剪軌跡光順方面的可行性與有效性。

    Abstract:

    Aiming at the problem of poor stationarity of robot end motion in the process of complex shape shrub pruning, an improved cubic B-spline trajectory fairing algorithm based on double tangent vector continuity was proposed. Firstly, the transition model of linear trajectory corner was established. The tangent vector constraint of connecting point was constructed by using the local properties of B-spline curve, so that the initial unsmooth pruning trajectory can be G 2 continuous after fairing. Secondly, the transition curves of planar multi-segment trajectories under different fairing algorithms were constructed. Through comparison and analysis, under the same approximation error, the curvature extreme value of the transition curve constructed by this algorithm was 40.5% lower than that of the traditional arc transition algorithm. Compared with the traditional cubic B-spline transition algorithm, the curvature of the transition curve constructed by this algorithm was more continuous and the overall fairing effect was better than that of the traditional cubic B-spline transition algorithm under the same approximation error. Finally, in order to verify the fairing effect of the algorithm on spatial pruning trajectory, a 5-axis joint robot model was established for duck-shaped trajectory pruning simulation experiment. The results showed that the algorithm can increase the extreme velocity at the end of the robot by 13.5%, reduce the extreme acceleration by 86.9%, and make the joints of the robot move more smoothly. The results verified the feasibility and effectiveness of the algorithm in the fairing of complex pruning trajectories.

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古 勁,吳泰羽,李傳軍,張 賓,張亞偉.基于改進(jìn)三次B樣條的灌木修剪運(yùn)動(dòng)軌跡光順?biāo)惴ㄑ芯縖J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2021,52(S0):89-97. GU Jin, WU Taiyu, LI Chuanjun, ZHANG Bin, ZHANG Yawei. Trajectory Fairing Algorithm for Shrub Pruning Based on Improved Cubic B-spline[J]. Transactions of the Chinese Society for Agricultural Machinery,2021,52(S0):89-97.

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  • 收稿日期:2021-07-02
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  • 在線發(fā)布日期: 2021-11-10
  • 出版日期: 2021-12-10