椭圆弧柔性铰链刚度简化计算及优化设计

本文主要研究了椭圆弧柔性铰链刚度的优化设计方法。首无,针对椭圆弧柔性铰链刚度计算公式过于复杂的问题,采用幂函数非线性曲线拟合的方法,推导了椭圆弧柔性铰链刚度的近似理论计算公式。然后,基于近似理论计算公式,分析了柔性铰链的精度特性及工作时的最大应力;采用GlobalSearch全域优化指令和Fmincon局域优化指令对椭圆弧柔性铰链工作方向的最大刚度进行了优化设计。最后,采用有限元仿真和实验验证的方法证实近似理论计算公式的适用性和优化结果的可靠性。验证显示:实验结果与近似理论计算结果的相对误差小于5%,表明提出的方法不仅省去了繁杂的有限元模型建立以及计算和修改的过程,大大提高了设计效率;而且通过优化计算可以得到椭圆弧柔性铰链的最大刚度。     

低预紧扭矩螺栓连接悬臂梁的2倍谐振响应

为准确获得光电设备中螺栓连接对系统结构动态响应特性的影响,研究了装配连接环节导致的非线性振动特性。采用单螺对栓连接悬臂梁模型,对螺栓连接引起的结构振动特性的改变进行了研究和实验。利用接触有限元方法对低预紧扭矩下结构非线性振动特性进行了时域数值积分仿真分析,给出了不同激励量级周期受迫激励下的相轨迹曲线;结合快速傅里叶分析方法,指出此模型在低预紧扭矩下存在1/2频率激励下的谐振现象。基于激振器实验,给出了实验自由振动响应幅值和受迫振动响应幅值的变化,证实了仿真结果的准确性。数值仿真和激振器实验均表明:激励量级越大,螺栓连接引起的非线性振动中自由振动分量对结构动态响应的影响越大。该方法对开展后续连接结构的非线性振动特性的研究有指导意义。     

Fourier‐Transform Rheology of Unvulcanized,Carbon Black Filled Styrene Butadiene Rubber

Rubber materials filled with reinforcing fillers display nonlinear rheological behavior at small strain amplitudes below γ₀ < 0.1. Nevertheless, rheological data are analyzed mostly in terms of linear parameters, such as shear moduli (G′, G″), which loose their physical meaning in the nonlinear regime. In this work styrene butadiene rubber filled with carbon black (CB) under large amplitude oscillatory shear (LAOS) is analyzed in terms of the nonlinear parameter I_3/1. Three different CB grades are used and the filler load is varied between 0 and 70 phr. It is found that I_3/1(φ) is most sensitive to changes of the total accessible filler surface area at low strain amplitudes (γ₀ = 0.32). The addition of up to 70 phr CB leads to an increase of I_3/1(φ) by a factor of more than ten. The influence of the measurement temperature on I_3/1 is pronounced for CB levels above the percolation threshold.

     

Experimental and analytical investigation on seismic behavior of Q690 circular high‐strength concrete‐filled thin‐walled steel tubular columns

This paper proposed a new Q690 circular high‐strength concrete‐filled thin‐walled steel tubular (HCFTST) column comprising an ultrahigh‐strength steel tube (yield strength f_y ≥ 690 MPa). A quasi‐static cyclic loading test was conducted to examine the seismic behavior, and the obtained lateral load‐displacement hysteresis curves, skeleton curves, and ductility were analyzed in detail. Then, a numerical model based on a nonlinear fiber beam‐column element incorporating the modified uniaxial cyclic constitutive laws for concrete and steel was developed mainly to predict the seismic behavior of the tested Q690 circular HCFTST columns. The effects of the concrete cylinder compressive strength (f_c), steel yield strength (f_y), axial compression ratio (n), and diameter‐to‐thickness (D/t) ratio on the seismic behavior were investigated through a parametric study. Finally, a simplified hysteretic model incorporating the moment‐resisting capacity and deterioration of the unloading stiffness in addition to a normalized skeleton curve and hysteretic criterion was established. The results indicate the following: the proposed Q690 circular HCFTST columns can display reasonable hysteretic behaviors to some extent; the use of high‐strength steel can lead to a significantly larger elasto‐plastic deformation capacity and delay the appearance of post‐peak behavior, even if a lower ductility capacity is provided; moderately loosening the limitations on the D/t ratio can also result in ideal hysteretic behaviors; and the established numerical model and simplified hysteretic model can satisfactorily predict the experimentally observed load‐displacement hysteretic curves, including the deterioration of the strength and stiffness and can, thus, offer design references for the elasto‐plastic analysis of circular HCFTST columns.     

考虑遮拦-加筋效应的刚性承台群桩非线性分析

文章介绍竖向受荷单桩非线性分析方法,双桩分析时,在前人工作基础上推导了分层土中被动桩遮拦-加筋效应的矩阵表达式,并结合叠加算法建立考虑遮拦-加筋效应的群桩非线性分析方法,对群桩刚度及桩身附加轴力进行分析,较好地解决了线弹性分析方法高估群桩相互作用的问题。最后通过已发表的刚性承台群桩算例验证文章方法的合理性。     

基于动态轧制力的波纹辊轧机非线性振动

 金属层状复合板波纹辊轧制成形技术是一项变革性技术。为研究动态轧制力对波纹辊轧机振动特性和分岔行为的影响,考虑了波纹辊轧机动态轧制力、波纹界面间的非线性刚度和非线性阻尼,建立了基于动态轧制力的波纹辊轧机非线性振动数学模型。运用多尺度法求解了波纹辊轧机辊系在动态轧制力激励下的非线性振动幅频特性方程。分析了动态轧制力幅值、非线性刚度系数和非线性阻尼系数等参数对非线性振动的影响。通过最大Lyapunov指数、分岔混沌图、Poincaré截面和相轨迹等方法分析了轧制力的动态变化对系统稳定性的影响,设计了分岔反馈控制器对轧制力动态变化诱发的分岔行为进行控制,并且通过数值仿真验证了控制器设计的正确性和可行性。     

Solving method of generalized nonlinear dynamic least squares for data processing in building of digital mine

Data are very important to build the digital mine. Data come from many sources, have different types and temporal states. Relations between one class of data and the other one, or between data and unknown parameters are more nonlinear. The unknown parameters are non-random or random, among which the random parameters often dynamically vary with time. Therefore it is not accurate and reliable to process the data in building the digital mine with the classical least squares method or the method of the common nonlinear least squares. So a generalized nonlinear dynamic least squares method to process data in building the digital mine is put forward. In the meantime, the corresponding mathematical model is also given. The generalized nonlinear least squares problem is more complex than the common nonlinear least squares problem and its solution is more difficultly obtained because the dimensions of data and parameters in the former are bigger. So a new solution model and the method are put forward to solve the generalized nonlinear dynamic least squares problem. In fact, the problem can be converted to two sub-problems, each of which has a single variable. That is to say, a complex problem can be separated and then solved. So the dimension of unknown parameters can be reduced to its half, which simplifies the original high dimensional equations. The method lessens the calculating load and opens up a new way to process the data in building the digital mine, which have more sources, different types and more temporal states.     

Influence of Microplasticity on the Static and Dynamic Elastic Moduli of Rocks

Using the analysis of experimental data as the base, it is shown that the difference in the values of static and dynamic elastic moduli of rocks is governed by viscoelastic and microplastic mechanisms of deformation, provided the stresses do not exceed the proportionality limit.     

非线性规划法在矿井高压配电网无功补偿优化中的应用研究

根据矿井高压配电网的特点,用非线性规划法对矿井高压配电网的无功补偿进行优化,建立无功补偿的目标函数和约束条件,确定了无功补偿的最佳容量及其最优分布。经不同类型的矿井应用表明,其理论与实际运行结论能较好地吻合。无功补偿效益明显提高,减少的线损率约为46％,投资咽收年限约为1a。     

A nested online scheduling and nonlinear model predictive control framework for multi-product continuous systems

In the pursuit of integrated scheduling and control frameworks for chemical processes, it is important to develop accurate integrated models and computational strategies such that optimal decisions can be made in a dynamic environment. In this study, a recently developed switched system formulation that integrates scheduling and control decisions is extended to closed-loop operation embedded with nonlinear model predictive control (NMPC). The resulting framework is a nested online scheduling and control loop that allows to obtain fast and accurate solutions as no model reduction is needed and no integer variables are involved in the formulations. In the outer loop, the integrated model is solved to calculate an optimal product switching sequence such that the process economics is optimized, whereas in the inner loop, an NMPC implements the scheduling decisions. The proposed scheme was tested on two multi-product continuous systems. Unexpected large disturbances and rush orders were handled effectively.