非线性方程组拟牛顿法中线性搜索的一种改进

改进了Ｇｒｉｅｗａｎｋ（１９８６）提出了关于求解非线性方程组的一种线性搜索方式。在理论上保证了线性搜索的实现,使得算法是适定的,而且,在改进的线性搜索条件下,Ｂｒｏｙｄｅｎ算法仍具有全局收敛性和局部超线性收敛性。     

某类高阶非线性偏微分方程组弱解的正则性

本文研究一类2k阶非线性偏微分方程组之解的正则性,没有假定通常的椭圆性条件而只假定所谓"无穷远处"的椭圆性条件,证明了解的k-1阶导数为李普希兹连续的.     

一种准零刚度被动隔振系统的非线性共振响应分析

分析了一种机构的负刚度特性和它与线性主弹簧并联后而成的隔振系统的准零刚度特性，推导了准零刚度被动隔振系统的主谐波共振、亚谐波共振和超谐波共振的幅频特性表达式.结果表明，机构的负刚度区域随弹簧的初始变形与杆长的比值增大而变宽；隔振系统的准零刚度区域随主弹簧的刚度与机构中的弹簧总刚度的比值以及机构中的弹簧初始变形与杆长的比值增大而变宽；经比较发现，本文推得的被动隔振系统的同一种谐波共振幅频特性与杜芬方程的幅频特性均存在较大偏差.因此，对于这类被动隔振系统的运动微分方程，若以位移激励的幅值与激励频率平方的乘积代替单位质量的激励力幅值按杜芬方程的解来处理谐波共振问题将会带来较大误差.     

一类半线性椭圆问题的瀑布型多重网格法

采用瀑布型多重网格法求解一类半线性椭圆问题.在适当条件下，证明了该算法具有能量范数意义下最优收敛阶和拟最优计算复杂度.     

农田平地机导航侧滑估计与自适应控制方法

针对农田平地机在无人驾驶作业时因受地面侧滑影响而导致路径追踪控制精度降低的问题,提出一种基于牵引式农田平地机的导航侧滑估计与自适应控制方法。根据路径追踪时平地铲与拖拉机的位置关系,建立了牵引式农田平地机的运动学模型;基于运动学模型,提出了一种侧滑估计器,用来预测导航控制中车轮因侧滑产生的侧滑角,并计算出拖拉机的前轮转角控制率;采用改进的非线性函数构造方法对PID控制器的参数KP、KI、KD进行实时整定,实现了农田平地机自适应导航控制。田间试验表明,该方法使平地铲路径追踪的平均绝对偏差减小了6.78 cm,标准偏差减小了10.1 cm。与无侧滑估计和参数自适应的导航控制相比,本文方法提高了农田平地机的路径追踪精度,增强了导航控制系统对平地机的适应性和鲁棒性。     

粘性Cahn-Hilliard方程的高精度线性化差分方法

讨论粘性Cahn-Hilliard方程的高精度线性化差分方法.利用降阶法对粘性Cahn-Hilliard方程建立三层线性化紧差分格式.用离散能量分析法证明差分格式的唯一可解性及在L_∞-范数下的收敛性,其收敛阶为时间方向二阶、空间方向四阶.最后,通过数值算例验证了差分格式的理论结果.     

基于非线性假设的农业机械化综合评价——以四川地区为例

农业机械化水平受到自然、经济、社会等多重因素影响,区域性特征非常明显,对农机化的评价维度和方法目前也未形成共识。为此,以四川省农机发展水平为例,确定四川省农业机械化评价维度后,基于几个维度的非线性关系假设,使用三维空间向量对该地区农业机械化水平进行了综合评价。     

矩形底面扁球面网壳的分岔问题

对曲面为正三角形网格矩形底面扁球面单层网壳,用拟壳法建立非线性动力学方程,在固定夹紧的边界条件下,给出满足边界条件的动态解。通过Galerkin法得到该问题的非线性动力学方程,用Floquent指数方法研究系统的分岔问题,讨论了平衡点(奇点)领域的稳定性问题。并且通过数字仿真绘出了不同平衡点处系统的分岔图,指出系统在动静载荷作用下平衡位置的变化情况。     

Comparative pharmacokinetics and pharmacokinetic/pharmacodynamic analysis by nonlinear mixed‐effects modeling of cefquinome in nonpregnant,pregnant, and lactating goats after intravenous and intramuscular administration

Cefquinome is a fourth‐generation cephalosporin that is used empirically in goats. Different physiologic factors like pregnancy or lactation could determine the pharmacokinetic behavior of drugs in the organism. The objectives of this study are to (a) compare the pharmacokinetics of cefquinome after intravenous and intramuscular administration in adult nonpregnant (n = 6), pregnant (n = 6), and lactating goats (n = 6), at a dose of 2 mg/kg, with rich sampling by nonlinear mixed‐effects modeling, (b) conduct a pharmacokinetic/pharmacodynamic analysis to evaluate the efficacy of the recommended posology in goats with different physiological states, and (c) determine the optimal posology that achieve a PTA value ≥ 90%, taking into account a T > MIC ≥ 60% of a MIC value ≤ 0.25 µg/ml, in the different subpopulations of goats for both routes. Gestation significantly increased Ka and V1, while reduced F0, Cl, and Q. On the other hand, lactation significantly increased V1 and reduced Tk0. Cefquinome concentrations achieved in placental cotyledon, amniotic fluid, and fetal serum indicate a minimal penetration across the placental barrier. Moreover, milk penetration of cefquinome was minimal. The total body clearance of cefquinome for goats was 0.29 L kg^?1 hr^?1, that is apparently higher than the reported for cows (0.13 L kg^?1 hr^?1) and pigs (0.16 L kg^?1 hr^?1). So, the optimal dose regimen for cefquinome after intravenous and intramuscular administration required higher dose and frequency of administration compared with recommendations for cows or pigs. Therefore, 2 mg kg^?1 8 hr^?1 and 5 mg kg^?1 12 hr^?1 could be used for IV and IM routes, respectively, for the treatment of respiratory infections caused by P. multocida and M. haemolytica, but only 5 mg kg^?1 12 hr^?1 by both routes should be recommended for Escherichia coli infections.     

Nonlinear Science and Control about the Geological Hazards in the Three Gorges Reservoir Area

Such the geological hazards as landslide, rockfall, debris-flow and so on frequently occur in the Three Gorges Reservoir Area, so it is a very practical and immediate job to explore the mechanism caused the geological hazards and how to forecast and control the geological hazards. For this reason, this paper introduces the situation of the geological hazards occurred in the Three Gorges Reservoir Area and the major type and feature of the geological hazards occurred in Chongqing, and discusses the basic principle about the modern nonlinear science applied to the geological hazards and the creep-slip, stick-slip occurred on the joints of rock mass and the monitoring technology of the geological hazards.The basic thinking is put forward which can be applied the modern nonlinear science to the geological hazards occurred in the Three Gorges Reservoir Area.