Mindlin矩形板在任意弹性边界条件下的振动特性分析

为了研究Mindlin矩形板在任意弹性边界条件下的自由振动特性,采用改进傅里叶级数的方法,将板的横向振动位移和转角位移函数表示为标准的二维傅里叶余弦级数和辅助级数的线性组合。结合Hamilton原理建立求解方程,得到Mindlin矩形板振动控制方程的矩阵表达式。通过辅助级数的引入,解决了位移函数和转角函数的导数在边界不连续的问题,从而使此法适用于任意的弹性边界条件。边界条件通过均匀布置的线性位移弹簧、旋转弹簧和扭转弹簧来模拟,通过改变3种类型弹簧的刚度值来实现不同的边界条件。最后给出了数值仿真算例,并对计算结果进行了分析。通过与已有文献的计算结果进行比较,本方法与文献中的结果间的偏差不超过5‰,验证了本方法的准确性。

Empirical Analysis on Rural Financial Development and Farmers' Income Increase in China

The growth of farmer＇s incomes is cIoseIy reIated to rural finance. The research analyzed the dynamic reIationship of rural financial deveIopment, efficiency and farmer＇s incomes based on VAR modeI, and the resuIts indicated that the ex-pansion of rural finance wouId stimuIate farmer＇s incomes in a Iong term, and the growth of rural financial efficiency significantIy improves farmer＇s incomes in a short term, instead of a Iong term. Hence, it is necessary to introduce more credit funds and social funds to rural areas, deepen rural financial system reform and acceIerate use rate of Ioan capital and enhance guidance for farmers and township enterprises in use of Ioan capitals.

Assessment of Land Comprehensive Carrying Capacity in Lin'an City

According to regional characteristics and the actual situation in Lin ’an City, an evaluation index system of land comprehensive carrying capacity composed of three support subsystems （eco-environment, social and economic carrying capaci-ties） containing 22 evaluation indexes was established to evaluate the comprehen-sive carrying capacity of land resource in Lin’an City during 2005-2012. Meanwhile, based on the target data of overal land use plan, the level of land comprehensive carrying capacity was predicted at the end of the plan period （2020） .The results showed that land comprehensive carrying capacity had a significant growth in Lin ’an from 2005 to 2012, and the development trend was basical y sustainable. The sub-systems also had been greatly improved, in which the constant improvement of ec-ological environment carrying capacity made the largest contribution to the constant raising of land comprehensive carrying capacity. The degree of coordination between the systems was poor, in which eco-environment carrying capacity had the maxi-mum growth, far more than the social and economic carrying capacities. According to the land comprehensive carrying capacity in 2020, utilization of land resources in Lin＆#39;an city can achieve sustainable development in general. Final y, proposals of im-proving comprehensive carrying capacity were put forward in terms of the enhance-ment of eco-environment protection, accelerating economic development and policy guidance.

A novel image encryption scheme based on Keplers third law and random Hadamard transform

In this paper, a novel image encryption scheme based on Keplers third law and random Hadamard transform is proposed to ensure the security of a digital image. First, a set of Kepler periodic sequences is generated to permutate image data, which is characteristic of the plain-image and the Keplers third law. Then, a random Hadamard matrix is constructed by combining the standard Hadamard matrix with the hyper-Chen chaotic system, which is used to further scramble the image coefficients when the image is transformed through random Hadamard transform. In the end, the permuted image presents interweaving diffusion based on two special matrices, which are constructed by Kepler periodic sequence and chaos system. The experimental results and performance analysis show that the proposed encrypted scheme is highly sensitive to the plain-image and external keys, and has a high security and speed, which are very suitable for secure real-time communication of image data.

Improvement of the thermoelectric efficiency of pyrene-based molecular junction with doping engineering

In this study, the thermoelectric properties of pyrene molecule doped with boron and nitrogen atom at different sites of molecule are investigated using density functional theory and none-equilibrium Greens function formalism in the linear response regime. Our calculations show that when the impurities are added to the edge of the molecule, the anti-resonant peaks will appear in the transmission diagram in the vicinity of the Fermi energy level. So it increases the thermoelectric figure of merit of the system in comparison with the one that the impurity is located in the center of molecule. Additionally, the seebeck coefficient signs are not the same among the B, N, and N ＆ B doped devices, indicating that the types of the carriers can be changed with different types of doping.