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基于半圓型波紋周期梁的柔順恒力機(jī)構(gòu)優(yōu)化設(shè)計(jì)
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國(guó)家自然科學(xué)基金項(xiàng)目(52165002、52065019)、江西省自然科學(xué)基金項(xiàng)目(20202ACBL214013、20224BAB204041)、中國(guó)博士后科學(xué)基金項(xiàng)目(2022M723189)和江西省教育廳科技項(xiàng)目(GJJ2200628)


Optimal Design of Compliant Constant-force Mechanism Based on Semicircular Corrugated Periodic Beam
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    摘要:

    為了解決柔順恒力機(jī)構(gòu)中正剛度模塊的幾何非線(xiàn)性問(wèn)題,基于半圓型波紋周期梁設(shè)計(jì)了正剛度模塊,負(fù)剛度模塊采用雙穩(wěn)態(tài)梁,利用正負(fù)剛度疊加原理設(shè)計(jì)了柔順恒力機(jī)構(gòu)。采用莫爾積分法和柔度矩陣法建立了正剛度模塊的理論模型,采用橢圓積分法建立了負(fù)剛度模塊的理論模型,并通過(guò)ANSYS有限元仿真軟件分析了柔順恒力機(jī)構(gòu)的力-〗位移曲線(xiàn)以驗(yàn)證理論模型,兩者相對(duì)誤差在10%以?xún)?nèi)。為了擴(kuò)大恒力區(qū)間范圍,采用響應(yīng)面法對(duì)柔順恒力機(jī)構(gòu)的幾何參數(shù)進(jìn)行優(yōu)化,并對(duì)影響恒力范圍的幾何參數(shù)進(jìn)行了靈敏度分析。利用3D打印技術(shù)加工柔順恒力機(jī)構(gòu)樣機(jī)進(jìn)行實(shí)驗(yàn)驗(yàn)證,實(shí)驗(yàn)結(jié)果表明,機(jī)構(gòu)能在輸入位移1.1~6.2mm的范圍內(nèi)保持約18.8N的恒力,驗(yàn)證了所設(shè)計(jì)的柔順恒力機(jī)構(gòu)的可行性、優(yōu)化方法的有效性和理論模型的準(zhǔn)確性。

    Abstract:

    In order to solve the geometric nonlinear problem of the positive stiffness module in the compliant constant-force mechanism, the positive stiffness module was designed based on the semicircular corrugated periodic beam, the negative stiffness module adopted a bistable beam, and the compliant constant force mechanism was designed by using the principle of positive and negative stiffness superposition. The theoretical model of the positive stiffness module was established by using the Mohr integral method and the compliance matrix method, and the theoretical model of the negative stiffness module was established by the elliptic integral method. The force-displacement curve of the compliant constant force mechanism was analyzed by ANSYS finite element simulation software to verify the theoretical model, and the relative error between the two was within 10%. In order to expand the range of constant-force, the response surface method was used to optimize the geometric parameters of the compliant constant-force mechanism, and the sensitivity analysis of the geometric parameters affecting the constant-force range was carried out. The prototype of the compliant constant-force mechanism was processed by 3D printing technology for experimental verification. The experimental results showed that the mechanism can maintain a constant-force of about 18.8N within the input displacement range of 1.1~6.2mm. The feasibility of the designed compliant constant-force mechanism, the validity of the optimization method and the accuracy of the theoretical model were verified.

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劉敏,袁奇,張佳,占金青,吳劍.基于半圓型波紋周期梁的柔順恒力機(jī)構(gòu)優(yōu)化設(shè)計(jì)[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2023,54(12):449-458. LIU Min, YUAN Qi, ZHANG Jia, ZHAN Jinqing, WU Jian. Optimal Design of Compliant Constant-force Mechanism Based on Semicircular Corrugated Periodic Beam[J]. Transactions of the Chinese Society for Agricultural Machinery,2023,54(12):449-458.

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  • 收稿日期:2023-05-13
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  • 在線(xiàn)發(fā)布日期: 2023-08-15
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