九参三角形板元收敛的弱连续条件

引入分片试验的要求分别从协调方程和薄板弯曲平衡方程的弱形式,导出了相同的保证薄板单元收敛的弱连续条件。它也满足F-E-Test,所以收敛性是得到保证的。与积分连续条件相比,弱连续条件更弱。采用弱连续条件构造薄板单元,意味着薄板弯曲的C1连续性要求不是必要的,不仅放松了单元间的C1连续性要求,而且扩大了构造薄板弯曲单元的范围。根据本文的弱连续条件,构造了两个单元作为算例,它通过Irons的分片试验;对12种情形,数值计算表明,数值精度也很高,在16×16的细网格下它们的平均计算精度开始高于DKT。     

火炬松木材剪切弹性模量的测试研究

研究采用变跨距的三点弯曲方法测试10年生火炬松木材17号家系和50号家系的剪切弹性模量GLT,GLR值;用45°偏轴压缩法测量GRT值.测试结果表明,速生材火炬松的剪切弹性模量GLT,GLR,GRT都不高,在70-180 MPa之间,其中GRT最小;另外,整体上火炬松17家系的抗剪切性能优于50号家系.     

Bernstein-Durrmeyer算子拟中插式在Orlicz空间中的逼近

本文在Orlicz空间中研究了Bernstein-Durrmeyer算子拟中插式B_n~(2r-1)(f,x)逼近性质.利用2r阶Ditzian-Totik模与K-泛函的等价性,Jensen不等式,H?lder不等式,Berens-Lorentz引理得到了逼近的正,逆和等价定理,从而推广了Bernstein-Durrmeyer算子拟中插式B_n~(2r-1)(f,x)在L_P空间的逼近结果.     

复高阶微分方程的解

利用亚纯函数的Nevanlinna值分布理论以及最大模原理,讨论了一类复高阶微分方程的代数体解以及一类复高阶微分方程组的超越亚纯解的存在性问题,得到了两个结论.还推广了一些文献的结论,例子表明该文的结论是精确的.     

B(X)上的保k次幂线性映射

设Ｘ 为Ｂａｎａｃｈ 空间,Ｂ（Ｘ）为Ｘ 上有界线性算子全体组成的代数,本文给出了Ｂ（Ｘ）上保ｋ 次幂弱连续线性满射的完全刻划．     

代数多项式和指数型整函数在Besov空间中的逼近

用Ｋ－泛函定义了一类Ｂｅｓｏｖ空间,并分别用ｎ阶代数多项式及指数为σ的整函数的最佳逼近阶给出了其特征的刻画。     

Fractial parameterization of the structure of filled polymers

It is suggested to consider the structure of a filled polymer as a set of two or more multifractals. It is shown experimentally that the basic factor determining the fractal dimension of distribution of a disperse filler in the polymer is the size distribution of filler particles.Moscow State Open University, Moscow, Russia. Translated from Mekhanika Kompozitnykh Materialov, Vol. 35, No. 3, pp 269–290, 1999.     

Discontinuous Solutions to Unbounded Differential Inclusions under State Constraints. Applications to Optimal Control Problems

We consider a nonconvex and unbounded differential inclusion derived from a control system whose control sets are time and space-dependent. We extend the inclusion in order to allow discontinuous trajectories. We prove that the set of solutions of the original inclusion is dense in the set of solutions of the extended inclusion and, moreover, these last solutions are stable with respect to the initial data. Both of these results are also proven in the presence of state and integral constraints (assuming suitable conditions at the boundary of the constraining set). As an application, the value function of a Mayer problem is shown to be continuous and the unique viscosity solution of a Hamilton–Jacobi equation with suitable boundary conditions.