【摘要】：為了獲得具有良好靜、動態(tài)特性的2-DOF并聯(lián)柔性結(jié)構(gòu)微動平臺,在給出平臺新構(gòu)型的基礎(chǔ)上,對其進(jìn)行尺寸優(yōu)化設(shè)計.基于Stewart并聯(lián)機(jī)構(gòu)思想并對其進(jìn)行相應(yīng)的結(jié)構(gòu)改變,設(shè)計出了具有對稱雙圓弧薄板式彈性單元體的2-DOF并聯(lián)柔性結(jié)構(gòu)微動平臺新構(gòu)型.采用懸臂曲梁變形理論給出了平臺各方向的剛度表達(dá)式,進(jìn)而通過加權(quán)組合法建立了綜合考慮各方向剛度的平臺尺寸優(yōu)化的統(tǒng)一目標(biāo)函數(shù);采用序列二次規(guī)劃(SQP)法對所建立的數(shù)學(xué)模型進(jìn)行了求解.通過實驗測試了優(yōu)化平臺與未優(yōu)化平臺的靜、動態(tài)特性,結(jié)果表明:在150 V驅(qū)動電壓作用下,優(yōu)化平臺x、y方向的位移分別為22.98μm、23.15μm,滿足設(shè)計要求;優(yōu)化平臺x、y、z方向的固有頻率分別為1.731 k Hz、1.722 k Hz、1.725 k Hz,在各方向的動態(tài)特性更加均衡;在50 N階躍輸入力作用下,優(yōu)化平臺x、y方向的響應(yīng)時間分別為18 ms、20 ms,明顯快于未優(yōu)化平臺.
[Abstract]:In order to obtain the fretting platform of 2-DOF parallel flexible structure with good static and dynamic characteristics, the size optimization design of the platform is carried out on the basis of giving the new configuration of the platform. Based on the idea of Stewart parallel mechanism and the corresponding structural changes, a new configuration of 2-DOF parallel flexible structure fretting platform with symmetric double circular arc thin plate elastic element is designed. The stiffness expression of each direction of the platform is given by using the deformation theory of cantilever curved beam, and then the unified objective function of platform size optimization considering stiffness in each direction is established by weighted combination method, and the mathematical model is solved by sequential quadratic programming (SQP) method. The static and dynamic characteristics of the optimized platform and the unoptimized platform are tested by experiments. The results show that the displacement in the y direction of the optimized platform x is 22.98 渭 m and 23.15 渭 m respectively under the action of 150V driving voltage, which meets the design requirements, and the natural frequency of the optimized platform x is 1.731 k Hz,1.722 k Hz,1.725 k Hz, in all directions. Under the action of 50 N step input force, the response time in y direction of the optimization platform x is 18 ms,20 ms, which is significantly faster than that of the unoptimized platform.
【作者單位】： 寧波大學(xué)機(jī)械工程與力學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金(51175271) 教育部留學(xué)回國人員科研啟動基金 浙江省高等學(xué)校中青年學(xué)科帶頭人學(xué)術(shù)攀登項目(pd2013091)
【分類號】：TH112
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本文編號：2502281