本文選題：絕對(duì)節(jié)點(diǎn)坐標(biāo)　切入點(diǎn)：索　出處：《力學(xué)學(xué)報(bào)》2016年06期 　論文類型：期刊論文

【摘要】：索粱結(jié)構(gòu)在土木工程、航空航天等領(lǐng)域有著廣泛的應(yīng)用.在各類索梁動(dòng)力學(xué)建模方法中,由于絕對(duì)節(jié)點(diǎn)坐標(biāo)方法(absolute nodal coordinate formulation,ANCF)能夠描述柔性體的大變形和大轉(zhuǎn)動(dòng)問題,因此非常適合大變形索梁結(jié)構(gòu)的動(dòng)力學(xué)建模.對(duì)絕對(duì)節(jié)點(diǎn)坐標(biāo)索梁?jiǎn)卧膽?yīng)變進(jìn)行分析可知,彎曲變形會(huì)引起單元內(nèi)部軸向應(yīng)變的不均勻分布,即單元軸向應(yīng)變與彎曲應(yīng)變相互耦合.這種應(yīng)變耦合效應(yīng)使單元產(chǎn)生偽應(yīng)變能,導(dǎo)致單元?jiǎng)偠仍龃?造成單元失真.分析不同彎曲角下的單元應(yīng)變及應(yīng)變能可知,彎曲變形越大,單元失真越嚴(yán)重.通過構(gòu)造等效一維桿單元重新描述軸向應(yīng)變,實(shí)現(xiàn)了軸向應(yīng)變與彎曲應(yīng)變解耦.在此基礎(chǔ)上推導(dǎo)廣義彈性力,得到了絕對(duì)節(jié)點(diǎn)坐標(biāo)索梁?jiǎn)卧膽?yīng)變解耦模型.對(duì)解耦前后的兩種梁模型進(jìn)行靜力學(xué)和動(dòng)力學(xué)仿真,結(jié)果表明;解耦模型消除了單元偽應(yīng)變,相比原模型表現(xiàn)出更好的收斂性和曲率連續(xù)性,在相同單元數(shù)目下具有更高的精度.同時(shí)由于解耦模型降低了單元?jiǎng)偠?因此相比原模型,速度曲線中不再有高頻振動(dòng).
[Abstract]:The cable beam structure has been widely used in civil engineering, aerospace and other fields. In all kinds of cable beam dynamic modeling methods, absolute nodal coordinate formation ANCFs can describe the large deformation and rotation problem of flexible body. Therefore, it is very suitable for dynamic modeling of cable beam structure with large deformation. By analyzing the strain of cable beam element with absolute node coordinate, it can be concluded that bending deformation will cause uneven distribution of axial strain in element. That is, the element axial strain is coupled with the bending strain. This strain-coupling effect causes the element to produce pseudo-strain energy, which results in the increase of the element stiffness and the distortion of the element. The analysis of the element strain and strain energy at different bending angles shows that the element strain and strain energy can be obtained. The greater the bending deformation, the more serious the distortion of the element. By constructing an equivalent one-dimensional bar element to redescribe the axial strain, the decoupling of the axial strain and the bending strain is realized. On this basis, the generalized elastic force is derived. The strain decoupling model of cable beam element with absolute node coordinates is obtained. The static and dynamic simulations of two beam models before and after decoupling are carried out. The results show that the decoupling model eliminates the pseudo-strain of the element. Compared with the original model, the model shows better convergence and curvature continuity, and has higher accuracy under the same number of elements. At the same time, because the decoupling model reduces the stiffness of the element, there is no high frequency vibration in the velocity curve compared with the original model.
【作者單位】： 哈爾濱工業(yè)大學(xué);中國(guó)空間技術(shù)研究院;
【基金】：國(guó)家重點(diǎn)基礎(chǔ)研究發(fā)展計(jì)劃(973計(jì)劃)(2013CB733004) 微小型航天器技術(shù)國(guó)防重點(diǎn)學(xué)科實(shí)驗(yàn)室開放基金(HIT.KLOF.MST.201508)資助項(xiàng)目
【分類號(hào)】：O342
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本文編號(hào)：1573267