適用于微位移機構(gòu)的彈性鉸鏈特性分析及試驗研究
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本文選題:彈性鉸鏈 + 屈曲臨界載荷 ; 參考:《南京航空航天大學》2011年碩士論文
【摘要】:本文針對彈性鉸鏈傳統(tǒng)分析方法中存在的不足之處,通過理論、仿真和試驗三者相結(jié)合的方法,對微位移機構(gòu)中彈性鉸鏈的失穩(wěn)(屈曲)和剛度問題進行了研究。 依據(jù)材料力學能量原理中的瑞利-里茲法,針對多節(jié)串聯(lián)直角切口型彈性鉸鏈和直角切口型彈性鉸鏈平行四桿機構(gòu),建立了屈曲臨界載荷力學模型并推導(dǎo)了相關(guān)計算公式,綜合考慮了彈性鉸鏈的連桿長度對其屈曲的影響;依據(jù)卡氏定理推導(dǎo)了雙曲線型及橢圓型彈性鉸鏈的柔度計算公式;采用偽剛體模型法推導(dǎo)了直角切口型及橢圓型彈性鉸鏈平行四桿機構(gòu)靜剛度計算公式。 利用有限元軟件對直角切口型彈性鉸鏈及其平行四桿機構(gòu)模型進行了屈曲仿真分析,包括特征值屈曲分析和非線性屈曲分析;計算了雙曲線型及橢圓型彈性鉸鏈的柔度、直角切口型及橢圓型彈性鉸鏈平行四桿機構(gòu)的靜剛度。 制作了直角切口型彈性鉸鏈及其平行四桿機構(gòu)的樣件,設(shè)計了試驗裝置,分別進行了屈曲和剛度試驗,得到了相關(guān)的試驗數(shù)據(jù)。通過在不同尺寸參數(shù)下的屈曲和剛度分析,比較了理論計算值、有限元仿真值及相關(guān)試驗數(shù)據(jù),證明了本文所建力學模型及推導(dǎo)公式的正確性。
[Abstract]:Aiming at the shortcomings of the traditional analysis method of elastic hinge, this paper combines the theory, simulation and experiment. The instability (buckling) and stiffness of elastic hinges in micro-displacement mechanisms are studied. A mechanical model of buckling critical load is established for the parallel four-bar mechanism of multi-section series right-cut elastic hinge and right-angle notch elastic hinge, and the related calculation formulas are derived. The influence of connecting rod length of elastic hinge on its buckling is considered synthetically, and the formulas for calculating flexibility of hyperbolic and elliptic elastic hinge are derived according to Cardahl theorem. The static stiffness formulas of rectangular and elliptical elastic hinge parallel four-bar linkage are derived by using pseudo-rigid body model method. The buckling simulation analysis of right-cut elastic hinge and its parallel four-bar mechanism model is carried out by using finite element software. Including eigenvalue buckling analysis and nonlinear buckling analysis, the flexibility of hyperbolic and elliptic elastic hinges is calculated. The static stiffness of rectangular and elliptical elastic hinge parallel four-bar mechanism is studied. The specimens of right-angle notched elastic hinge and its parallel four-bar mechanism are made, and the test device is designed, and the buckling and stiffness tests are carried out, respectively. Relevant experimental data are obtained. Through the buckling and stiffness analysis under different size parameters, the theoretical calculation value, the finite element simulation value and the related experimental data are compared, which proves the correctness of the mechanical model established in this paper and the derivation formula.
【學位授予單位】:南京航空航天大學
【學位級別】:碩士
【學位授予年份】:2011
【分類號】:TH112.1
【引證文獻】
相關(guān)碩士學位論文 前1條
1 曾禮平;基于CAE技術(shù)的打樁機樁架結(jié)構(gòu)分析及優(yōu)化設(shè)計[D];南京航空航天大學;2012年
,本文編號:1996765
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