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具有固定轉(zhuǎn)動(dòng)軸線和變轉(zhuǎn)動(dòng)軸線3T1R并聯(lián)機(jī)構(gòu)構(gòu)型綜合
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Type Synthesis of 3T1R Parallel Machine with Fixed Rotation Axis and Variable Rotation Axis
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    摘要:

    使用位移流形理論對具有固定轉(zhuǎn)動(dòng)軸線和變轉(zhuǎn)動(dòng)軸線兩種運(yùn)動(dòng)模式的3T1R并聯(lián)機(jī)構(gòu)進(jìn)行了構(gòu)型綜合。分析空間球面4R機(jī)構(gòu)的一般運(yùn)動(dòng)學(xué)方程,通過求極限計(jì)算了一種特殊空間球面4R機(jī)構(gòu)連桿在奇異位形的兩個(gè)瞬時(shí)連續(xù)轉(zhuǎn)動(dòng)軸線。根據(jù)具有固定轉(zhuǎn)動(dòng)軸線和變轉(zhuǎn)動(dòng)軸線兩種運(yùn)動(dòng)模式的球面機(jī)構(gòu),得到其連桿位移流形的表達(dá)式,從而設(shè)計(jì)了具有兩種運(yùn)動(dòng)模式的3T1R并聯(lián)機(jī)構(gòu)。通過旋量理論,驗(yàn)證該3T1R機(jī)構(gòu)在運(yùn)動(dòng)模式變換過程中的自由度和驅(qū)動(dòng)副選取的正確性。結(jié)果表明,該3T1R并聯(lián)機(jī)構(gòu)具有固定轉(zhuǎn)動(dòng)軸線和變轉(zhuǎn)動(dòng)軸線兩種3T1R運(yùn)動(dòng)模式,4條支鏈的4個(gè)驅(qū)動(dòng)副能實(shí)現(xiàn)上述兩種模式下機(jī)構(gòu)的控制,當(dāng)機(jī)構(gòu)處于兩種運(yùn)動(dòng)模式的變換位形時(shí),需要增加一個(gè)輔助驅(qū)動(dòng)副,才能實(shí)現(xiàn)該機(jī)構(gòu)兩種運(yùn)動(dòng)模式的變換。

    Abstract:

    Based on the displacement manifold theory, the configuration synthesis of 3T1R parallel mechanism with fixed rotation axis and variable rotation axis was carried out. According to the general kinematics equation of spatial 4R spherical mechanism, the characteristics of rotation axis of spherical 4R mechanism with two fixed axes were analyzed. The characteristics of rotation axis of spherical 4R mechanism with fixed axis rotation and variable axis rotation were analyzed. Through limit calculation, the two instantaneous continuous rotation axes of the connecting rod of the spherical 4R mechanism with fixed rotation axis and variable rotation axis in the motion mode transformation configuration were analyzed. The results showed that the two instantaneous continuous rotation axes of this kind of mechanism did not coincide under the motion mode transformation configuration. According to the spherical mechanism with two motion modes of fixed rotation axis and variable rotation axis, the expression of connecting rod displacement manifold was established. The frame of the spherical mechanism was connected with three moving pairs, and a new 3T1R motion mode generator was obtained. Based on its displacement manifold, a 3T1R parallel mechanism with two motion modes was designed. Through the screw theory, the correctness of the degree of freedom and the selection of driving pair of the mechanism in the transformation of 3T1R motion mode with variable axis rotation and 3T1R motion mode with fixed axis rotation were verified. The results showed that the 3T1R parallel mechanism had two 3T1R motion modes: fixed rotation axis and variable rotation axis. Four drive pairs of four branch chains can realize the control of the mechanism under the above two modes. When the mechanism was in the transformation configuration of the two motion modes, an auxiliary drive pair needed to be added to realize the transformation of the two motion modes of the mechanism.

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劉偉,劉宏昭,胡旭宇.具有固定轉(zhuǎn)動(dòng)軸線和變轉(zhuǎn)動(dòng)軸線3T1R并聯(lián)機(jī)構(gòu)構(gòu)型綜合[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2022,53(2):451-458. LIU Wei, LIU Hongzhao, HU Xuyu. Type Synthesis of 3T1R Parallel Machine with Fixed Rotation Axis and Variable Rotation Axis[J]. Transactions of the Chinese Society for Agricultural Machinery,2022,53(2):451-458.

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  • 收稿日期:2021-03-16
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  • 在線發(fā)布日期: 2021-04-21
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