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1.
高速飞行器气动加热效应会影响飞行器结构动力学特性,从而影响飞行器气动伺服弹性(ASE)稳定性,这就是热气动伺服弹性问题。在考虑热效应的飞行器动力学特性分析的基础上,结合非定常气动力分析,提出了一种考虑气动加热效应的飞行器ASE分析方法。结合工程算例,验证了该方法的有效性,并研究了热效应对飞行器ASE稳定性的影响。最后,对飞行器热气动伺服弹性设计提出了一些建议。  相似文献   

2.
具有确定运动姿势的柔性体的动力学分析研究   总被引:1,自引:0,他引:1  
讨论了具有确定运动姿态的柔性多体系统的非线性动力学控制方程.将飞行器在空间的运动看作是已知的,分析了飞行器上的挠性构件对飞行器运动和姿态的影响,利用假设模态,将挠性构件的变形,看作是空间直角坐标轴方向的线元振动所构成的,根据动力学中的Kane方法,建立了动力学方程,方程中包含表示弹性变形的结构刚度矩阵及表示变形体非线性变形几何刚度矩阵,方程推导从应力一应变关系人手,使用了有限元法.经简化,得到了带帆板结构的平面挠性体对飞行器运动影响的动力学方程,这种方程可通过计算机实现其数值解.  相似文献   

3.
以高超声速飞行器纵向运动的空气动力学模型和结构动力学模型为依据,采用数值分析的方法,研究了高超声速飞行器动力系统平衡点集的拓扑结构.首先根据高超声速飞行器在巡航阶段的飞行边界的限制条件得到在给定的飞行高度和马赫数下的平衡点集,由此近似估算出了高超声速飞行器的飞行包线.然后根据得到的平衡点集,分别研究了高超声速飞行器的迎角、升降舵偏角和发动机的燃料当量比与飞行马赫数和高度的关系,并进行了数值拟合,在此基础上分别描绘了以上三个拟合关系式的曲面关系图。  相似文献   

4.
高超声速飞行器热防护材料与结构的研究进展   总被引:14,自引:0,他引:14  
高超声速飞行器是航空航天的一个重要发展方向,在未来国防安全中起着重要作用.高超声速飞行器热防护材料与结构是高超声速飞行器设计与制造的关键技术之一,它关系到飞行器的安全.高超声速飞行器热防护材料与结构主要有金属TPS热防护系统、超高温陶瓷、C/C复合材料等.从材料制备、抗氧化、力学与物理性能表征等方面综述了热防护材料与结构的研究与应用现状,评述了其发展趋势.  相似文献   

5.
一、引言 随着空间事业的不断发展,空间飞行器的种类不断增多,其动力学结构也越来越复杂.其中绝大部份飞行器既不是单一的刚体,也不是单一的弹性体.带有大型太阳帆板的卫星就是其中的一个典型例子.  相似文献   

6.
一、引言随着空间事业的不断发展,空间飞行器的种类不断增多,其动力学结构也越来越复杂.其中绝大部分飞行器既不是单一的刚体,也不是单一的弹性体,而是既有弹性体又有刚体组成的混合体.带有大型太阳帆板的卫星就是其中的一个典型例子.  相似文献   

7.
计算了带斜拉索的索结构在面内振动的近似特征频率,该索结构的不同位置还带有质点.发现经典传递矩阵法已不足以解决此问题,因此采用较大的外矩阵来确定特征频率方程.然后在对外矩阵渐近估计的基础上,确定一般索结构的动力学性能.  相似文献   

8.
对流扩散方程一类改进的特征线修正有限元方法   总被引:5,自引:1,他引:4  
1引言在地下水污染,地下渗流驱动,核污染,半导体等问题的数值模拟中,均涉及抛物型对流扩散方程(或方程组)的数值求解问题.这些对流扩散型偏微分方程(或方程组)具有共同的特点:对流的影响远大于扩散的影响,即对流占优性,对流占优性给问题的数值求解带来许多困难,因此对流占优问题的有效数值解法一直是计算数学中重要的研究内容.用通常的差分法或有限元法进行数值求解将出现数值振荡.为了克服数值振荡,提出各种迎风方法和修正的特征方法并在这些问题上得到成功的实际应用、80年代,Douglas和Russell[2]等…  相似文献   

9.
应用Hermite插值多项式以及最小势能原理导出了一种新型的高次多结点薄壁杆件单元,这种单元的特点是精度高,并可应用于桥梁,高层建筑巨型结构的有限元分析中。  相似文献   

10.
预测企业人才结构的变化;修正转移概率矩阵的Markov预测方法;用修正转移概率矩阵的Markov模型针对人才结构进行定量预测与分析,对历史数据样本数量要求不多,并且计算简便;获取的计算结果更具客观性、真实性.  相似文献   

11.
The problem of finding the least change adjustment to a stiffness matrix modeled by finite element method is considered in this paper. Desired stiffness matrix properties such as symmetry, sparsity, positive semidefiniteness, and satisfaction of the characteristic equation are imposed as side constraints of the constructed optimal matrix approximation for updating the stiffness matrix, which matches measured data better. The dual problems of the original constrained minimization are presented and solved by subgradient algorithms with different line search strategies. Some numerical results are included to illustrate the performance and application of the proposed methods.  相似文献   

12.
Measured and analytical data are unlikely to be equal due to measured noise, model inadequacies and structural damage, etc. It is necessary to update the physical parameters of analytical models for proper simulation and design studies. Starting from simulated measured modal data such as natural frequencies and their corresponding mode shapes, this study presents the equations to update the physical parameters of stiffness and mass matrices simultaneously for analytical modelling by minimizing a cost function in the satisfaction of the dynamic constraints of orthogonality requirement and eigenvalue function. The proposed equations are straightforwardly derived by Moore–Penrose inverse matrix without using any multipliers. The cost function is expressed by the sum of the quadratic forms of both the difference between analytical and updated mass, and stiffness matrices. The results are compared with the updated mass matrix to consider the orthogonality requirement only and the updated stiffness matrix to consider the eigenvalue function only, respectively. Also, they are compared with Wei’s method which updates the mass and stiffness matrices simultaneously. The validity of the proposed method is illustrated in an application to correct the mass and stiffness matrices due to section loss of some members in a simple truss structure.  相似文献   

13.
In this paper we consider an inverse problem for a damped vibration system from the noisy measured eigendata, where the mass, damping, and stiffness matrices are all symmetric positive‐definite matrices with the mass matrix being diagonal and the damping and stiffness matrices being tridiagonal. To take into consideration the noise in the data, the problem is formulated as a convex optimization problem involving quadratic constraints on the unknown mass, damping, and stiffness parameters. Then we propose a smoothing Newton‐type algorithm for the optimization problem, which improves a pre‐existing estimate of a solution to the inverse problem. We show that the proposed method converges both globally and quadratically. Numerical examples are also given to demonstrate the efficiency of our method. Copyright © 2008 John Wiley & Sons, Ltd.  相似文献   

14.
Based on the coupling of the natural boundary integral method and the finite elements method, we mainly investigate the numerical solution of Neumann problem of harmonic equation in an exterior elliptic. Using our trigonometric wavelets and Galerkin method, there obtained stiffness matrix is symmetrical and circulant, which lead us to a fast numerical method based on fast Fourier transform. Furthermore, we do not need to compute the entries of the stiffness matrix. On the other hand, we prove that the numerical solution possesses exponential convergence rate. Especially, examples state that our method still has good accuracy for small j when the solution u 0(θ) is almost singular.  相似文献   

15.
本文得到了刚度矩阵K发生变化时,系统矩阵S的和持征值及特向量变化量计算的基向量表示,这一方法可简化特征值与特征向量变化量的计算,可节省计算时,并将此方法应用于转子裂纹诊断,而转子裂纹诊断是转子动力学的热门问题,对保证转子运行安全性具有重要实际意义。  相似文献   

16.
In this paper, we first consider the least-squares solution of the matrix inverse problem as follows: Find a hermitian anti-reflexive matrix corresponding to a given generalized reflection matrix J such that for given matrices X, B we have minA ||AX - B||. The existence theorems are obtained, and a general representation of such a matrix is presented. We denote the set of such matrices by SE. Then the matrix nearness problem for the matrix inverse problem is discussed. That is: Given an arbitrary A^*, find a matrix A E SE which is nearest to A^* in Frobenius norm. We show that the nearest matrix is unique and provide an expression for this nearest matrix.  相似文献   

17.
陈丙振  孔令臣  尚盼 《计算数学》2018,40(4):402-417
随着大数据时代的到来,我们面临的数据越来越复杂,其中待估系数为矩阵的模型亟待构造和求解.无论在统计还是优化领域,许多专家学者都致力于矩阵模型的统计性质分析及寻找其最优解的算法设计.当随机误差期望为0且同方差时,采用基于最小二乘的模型可以很好地解决问题.当随机误差异方差,分布为重尾分布(如双指数分布,t-分布等)或数据含有异常值时,需要考虑稳健的方法来求解问题.常用的稳健方法有最小一乘,分位数,Huber等.目前稳健方法的研究大多集中于线性回归问题,对于矩阵回归问题的研究比较缺乏.本文从最小二乘模型讲起,对矩阵回归问题进行了总结和评述,同时列出了一些文献和简要介绍了我们的近期的部分工作.最后对于稳健矩阵回归,我们提出了一些展望和设想.  相似文献   

18.
AN INVERSE EIGENVALUE PROBLEM FOR JACOBI MATRICES   总被引:7,自引:0,他引:7  
Let T1,n be an n x n unreduced symmetric tridiagonal matrix with eigenvaluesand is an (n - 1) x (n - 1) submatrix by deleting the kth row and kth column, k = 1, 2,be the eigenvalues of T1,k andbe the eigenvalues of Tk+1,nA new inverse eigenvalues problem has put forward as follows: How do we construct anunreduced symmetric tridiagonal matrix T1,n, if we only know the spectral data: theeigenvalues of T1,n, the eigenvalues of Ti,k-1 and the eigenvalues of Tk+1,n?Namely if we only know the data: A1, A2, An,how do we find the matrix T1,n? A necessary and sufficient condition and an algorithm ofsolving such problem, are given in this paper.  相似文献   

19.
20.
It is well-known that the solution set of an interval linear equation system is a union of convex polyhedra the number of which increases, in general, exponentially with the problem size. As a consequence, the problem of finding the interval hull of the solution set is NP-hard as J. Rohn and V. Kreinovich proved in [13]. The purpose of this paper is to show that the solution set analysis can be simplified substantially provided the rank of the error matrix is restricted even if the assumption of interval character of data errors is replaced by a more general one. Especially, in the case of a rank-one error matrix we have to look into at most two convex subsets. Besides, a dual approach to describing the solution set is discussed. The original version of this approach was suggested in [7].  相似文献   

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