繞軸線自轉(zhuǎn)懸臂梁的局部限制失穩(wěn)分析
發(fā)布時(shí)間：2018-08-16 14:53
【摘要】：建立了任意位置限位器約束下繞軸線自轉(zhuǎn)懸臂梁的非線性模型.采用Ritz法分析系統(tǒng)的穩(wěn)定性,獲得了限位器無摩擦情形下系統(tǒng)的限制失穩(wěn)臨界值、分岔模式、后屈曲解以及致穩(wěn)限位器的最佳配置位置.采用有限元法對(duì)失穩(wěn)臨界值與致穩(wěn)限位器的優(yōu)化位置進(jìn)行了驗(yàn)證,獲得了一致的結(jié)果.進(jìn)一步分析了限位器夾緊力和支撐力摩擦效應(yīng)對(duì)系統(tǒng)穩(wěn)定性的影響規(guī)律,獲得了有益的認(rèn)識(shí).研究表明,在限位器約束下,繞軸線自轉(zhuǎn)懸臂梁存在臨界轉(zhuǎn)速,當(dāng)轉(zhuǎn)速超過臨界值時(shí),梁的零撓度平衡位置將發(fā)生叉式分岔而失去穩(wěn)定性;限位器夾緊力摩擦效應(yīng)將使失穩(wěn)后的系統(tǒng)在轉(zhuǎn)速回復(fù)時(shí)出現(xiàn)明顯的滯后效應(yīng),以比失穩(wěn)臨界值更低的轉(zhuǎn)速回到原平衡位置;繞軸線自轉(zhuǎn)懸臂梁系統(tǒng)致穩(wěn)限位器的最優(yōu)配置位置在梁長距固支端的78%左右等.這些成果對(duì)提升繞軸線自轉(zhuǎn)懸臂梁的局部限制失穩(wěn)性能的認(rèn)識(shí)和指導(dǎo)限位器的配置具有實(shí)際意義.
[Abstract]:A nonlinear model of cantilever beam with axial rotation under arbitrary position limiter constraint is established. The Ritz method is used to analyze the stability of the system. The critical value of the limited instability, bifurcation mode, post-buckling solution and the optimal configuration of the stabilizer are obtained under the condition that the limiter has no friction. The finite element method is used to verify the critical value of instability and the optimal position of the stabilizer, and the results are consistent. Furthermore, the influence of clamping force and supporting force on the stability of the system is analyzed. The results show that the critical rotational speed exists in the cantilever beam around the axis under the constraint of the limiter. When the rotation speed exceeds the critical value, the zero deflection equilibrium position of the beam will have fork bifurcation and lose its stability. The friction effect of clamping force of the limiter will cause obvious hysteresis effect in the speed recovery of the unstable system, and return to the original equilibrium position at the speed lower than the critical value of the instability. The optimal position of the stability limiter of the cantilever system is about 78% of the fixed end of the beam. These results are of practical significance to the understanding of the local limited instability of the cantilever beam around the axis and to the configuration of the limiter.
【作者單位】： 中國工程物理研究院總體工程研究所;
【基金】：國家自然科學(xué)基金(11402244)~~
【分類號(hào)】：O344.1
，
本文編號(hào)：2186315
[Abstract]:A nonlinear model of cantilever beam with axial rotation under arbitrary position limiter constraint is established. The Ritz method is used to analyze the stability of the system. The critical value of the limited instability, bifurcation mode, post-buckling solution and the optimal configuration of the stabilizer are obtained under the condition that the limiter has no friction. The finite element method is used to verify the critical value of instability and the optimal position of the stabilizer, and the results are consistent. Furthermore, the influence of clamping force and supporting force on the stability of the system is analyzed. The results show that the critical rotational speed exists in the cantilever beam around the axis under the constraint of the limiter. When the rotation speed exceeds the critical value, the zero deflection equilibrium position of the beam will have fork bifurcation and lose its stability. The friction effect of clamping force of the limiter will cause obvious hysteresis effect in the speed recovery of the unstable system, and return to the original equilibrium position at the speed lower than the critical value of the instability. The optimal position of the stability limiter of the cantilever system is about 78% of the fixed end of the beam. These results are of practical significance to the understanding of the local limited instability of the cantilever beam around the axis and to the configuration of the limiter.
【作者單位】： 中國工程物理研究院總體工程研究所;
【基金】：國家自然科學(xué)基金(11402244)~~
【分類號(hào)】：O344.1
，
本文編號(hào)：2186315
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