本文選題：軌跡規(guī)劃 + 測(cè)地線(xiàn)纏繞��； 參考：《哈爾濱理工大學(xué)》2015年碩士論文

【摘要】：因?yàn)槔w維纏繞復(fù)合材料的比強(qiáng)度和比剛度均高、可靠性好、密度小、抗腐蝕，在燃料貯箱、導(dǎo)彈運(yùn)載筒、天然氣瓶、管道、建筑等方面取得了廣泛的應(yīng)用，纖維纏繞復(fù)合材料制品的纏繞軌跡可設(shè)計(jì)性強(qiáng)，且纖維的排布狀態(tài)決定制品的機(jī)械性能，因此對(duì)纖維纏繞帶橢圓封頭的組合回轉(zhuǎn)體的線(xiàn)型的研究具有很重要的理論指導(dǎo)意義和工程實(shí)用價(jià)值。本文將研究適用于四自由度纏繞機(jī)的測(cè)地線(xiàn)纏繞線(xiàn)型和運(yùn)動(dòng)軸的運(yùn)動(dòng)軌跡。 本文首先分析了纖維纏繞技術(shù)所必須滿(mǎn)足的纏繞定理，纖維纏繞的線(xiàn)型規(guī)律，以及影響纖維纏繞制品機(jī)械性能的纏繞參數(shù)。然后建立了帶有橢圓型封頭的組合回轉(zhuǎn)體的數(shù)學(xué)模型，并根據(jù)纖維纏繞定理對(duì)帶有橢圓型封頭的組合回轉(zhuǎn)體模型進(jìn)行單纏繞周期線(xiàn)型設(shè)計(jì)，用相當(dāng)圓的方法計(jì)算出橢圓型封頭表面的測(cè)地線(xiàn)，根據(jù)微分幾何的相關(guān)知識(shí)求解出圓柱體段表面的的測(cè)地線(xiàn)，根據(jù)芯軸上當(dāng)前落紗點(diǎn)轉(zhuǎn)動(dòng)的位置關(guān)系求解出落紗點(diǎn)坐標(biāo)和芯軸轉(zhuǎn)角之間的關(guān)系式。然后對(duì)組合回轉(zhuǎn)體的完整纏繞進(jìn)行了設(shè)計(jì)，主要包括纏繞每層的切點(diǎn)數(shù)、兩相鄰切點(diǎn)之間的紗線(xiàn)擬合數(shù)和完成整個(gè)制品的纏繞所需的纏繞層數(shù)。再根據(jù)絲嘴坐標(biāo)與落紗點(diǎn)之間的幾何關(guān)系，計(jì)算出橫向伸臂運(yùn)動(dòng)和小車(chē)的縱向往返運(yùn)動(dòng)與芯軸旋轉(zhuǎn)運(yùn)動(dòng)之間的關(guān)系。之后根據(jù)在整個(gè)纏繞過(guò)程中纖維紗寬保持恒定的條件，計(jì)算出絲嘴的翻轉(zhuǎn)角與芯軸轉(zhuǎn)角之間的關(guān)系式。 本文中應(yīng)用MATLAB仿真軟件對(duì)文中規(guī)劃的各個(gè)運(yùn)動(dòng)軸的運(yùn)動(dòng)軌跡進(jìn)行了驗(yàn)證仿真。本文分別從“自由纖維為定長(zhǎng)”和“絲嘴在預(yù)設(shè)的軌跡上運(yùn)動(dòng)”兩個(gè)方面對(duì)纏繞過(guò)程中的各個(gè)軸的運(yùn)動(dòng)軌跡做了仿真驗(yàn)證分析，，對(duì)不同切點(diǎn)數(shù)及相同切點(diǎn)數(shù)不同纏繞順序?qū)w維纏繞過(guò)程中各個(gè)軸的運(yùn)動(dòng)軌跡的影響做了仿真分析。仿真結(jié)果證明：本文中求解帶有橢圓封頭的組合回轉(zhuǎn)體壓力容器的纖維纏繞線(xiàn)型和運(yùn)動(dòng)軸的運(yùn)動(dòng)軌跡的方法是可行的。
[Abstract]:Because the ratio strength and the specific rigidity of the fiber - wound composite material are both high , the reliability is good , the density is small , the corrosion resistance is widely applied in the aspects of fuel tanks , missile carriers , natural gas bottles , pipelines , buildings and the like , the winding paths of the fiber wound composite articles can be designed to be strong , and the arrangement state of the fibers can determine the mechanical properties of the products .

The paper first analyzes the winding theorem which must be satisfied by the fiber winding technique , the linear law of the fiber winding , and the winding parameters that affect the mechanical properties of the fiber winding products . Then , the relation between the coordinates of the two adjacent cutting points and the rotation motion of the core shaft is calculated according to the relation knowledge of the differential geometry . Then , the relation between the turning angle of the yarn nozzle and the rotation angle of the mandrel is calculated according to the geometric relationship between the coordinates of the yarn and the yarn dropping point . After that , the relation between the turning angle of the yarn nozzle and the rotation angle of the mandrel is calculated according to the condition that the width of the fiber yarn is kept constant during the whole winding process .

In this paper , the simulation results of the movement locus of each axis are simulated by MATLAB simulation software . The simulation results show that the method is feasible to solve the movement locus of the fiber winding linear and the moving axis of the combined rotary pressure vessel with elliptical head .

【學(xué)位授予單位】：哈爾濱理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類(lèi)號(hào)】：TB332

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