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Chang F.,Shandong Business Institute | Shi W.,Yantai University | Shi W.,Key Laboratory of Advanced Manufacturing and Control Technology in Universities of Shandong
Jixie Qiangdu/Journal of Mechanical Strength | Year: 2012

Considering the uncertainty of the structure and the performance parameters of the large deformation bending beam, the interval mathematical analysis method and the differential equation theory are adopted to study the non-linear deflection differential equation, the integration equation which the beam section rotation angle satisfies is given and the high precision approximation interval solutions of the deflection and section rotation angle functions of the bending beam are obtained with the use of the Gauss-Legendre integration formula and one-order differential equation theory and numerical interpolation method, the conclusions can supply the reasonable and safe constraint conditions, take the cantilever beam on which a point loading and uniformly distributing force acting as example, the deformation and the rotation angle of the beam are studied numerically, the results show the effectiveness and feasibility of the method introduced here.


Zhang L.,Yantai University | Zhang L.,Key Laboratory of Advanced Manufacturing and Control Technology in Universities of Shandong | Li S.-C.,China University of Petroleum - East China
Rare Metals | Year: 2015

In the present study, two models of atom occupation in LaNi4Co were put forward and corresponding valence electron structures (VESs) of these two models were investigated according to empirical electron theory (EET) of solids and molecules. Results demonstrate that the VES-concerned hardness factor (FH) of LaNi4Co is lower than that of LaNi5, so LaNi4Co has lower hardness, higher plasticity and improved anti-pulverization ability. In the mean time, the difference of the equilibrium hydrogen pressure between LaNi4Co and LaNi5 was analyzed in the electronic level. The analysis shows that the strength of the weakest bond net in octahedron lattice interstices of LaNi4Co is much lower than that in LaNi5; consequently, LaNi4Co’s bond net easily deforms to accommodate hydrogen so that LaNi4Co has lower equilibrium hydrogen pressure in comparison with LaNi5. The results can provide some theory guide on the design of hydrogen storage alloys. © 2015, The Nonferrous Metals Society of China and Springer-Verlag Berlin Heidelberg.


Shi W.-P.,Yantai University | Shi W.-P.,Key Laboratory of Advanced Manufacturing and Control Technology in Universities of Shandong | Wei J.,Yantai University | Wei J.,Key Laboratory of Advanced Manufacturing and Control Technology in Universities of Shandong
Zhendong yu Chongji/Journal of Vibration and Shock | Year: 2014

Multi-coordinate transform, Graf addition formulae and wave function expansion were employed to study the Green function solution of SH-wave scattering of several circular cavities in circular domain under a steady out-of-plane pulse acting on the outer boundary of circular domain. The scattering wave function of each circular cavity in the circular domain was presented, and the superposition principle was used to give the total wave field of the circular domain medium. An infinite linear algebraic equation system of unknown coefficients was derived according to the boundary conditions of the problem by using Graf addition formulae and Fourier transform, and then solved by limited terms truncation on the basis of the requirement of computation precision. The Green function solution was thus achieved. The results of a given example show the feasibility of the method proposed.


Duan C.,Shandong Business Professional College | Shi W.,Yantai University | Shi W.,Key Laboratory of Advanced Manufacturing and Control Technology in Universities of Shandong | Yu T.,Yantai University | Yu T.,Key Laboratory of Advanced Manufacturing and Control Technology in Universities of Shandong
Jixie Qiangdu/Journal of Mechanical Strength | Year: 2012

Fourier series expansion technology, standing wave expansion of the plane wave and Graf addition formula were used to deal with the complex integrations of the plane wave functions and scattering wave functions frequently appearing in the scattering problems about P-waves and SV-waves and SH-waves. These integration theoretical solutions can avoid the phenomena of low convergence speed, large computation and low computation precision often appearing in numerical integration computation, they can supply theoretical bases and results for programming high efficient, reliable computing software of elastic wave scattering.


Liu Y.,Shandong Business Professional College | Shi W.,Yantai University | Shi W.,Key Laboratory of Advanced Manufacturing and Control Technology in Universities of Shandong
Jixie Qiangdu/Journal of Mechanical Strength | Year: 2012

Complex method and multi-coordinate transformation and Graf addition formula were used to study the fuzzy scattering problem of SH (shearing horizontal) wave to the circular elastic inclusion in right-angle plane in which the wave number is fuzzy number. At first, the free wave functions of the complete right-angle plane in which no circular elastic inclusion exist and the scattering wave functions were given with the help of stress-free conditions on the two boundaries of right-angle plane. Then, the infinite linear algebraic equation systems of unknown coefficients appearing in the scattering functions were given with the help of the stress and displacement conditions on the boundary of the elastic circular inclusion and Fourier series expansion and Graf addition formula. In order to use the fuzzy information of the fuzzy wave number, the wave number was regarded as fuzzy parameter, its support was equal-divided, the expanding principle and the determinate method were used to obtain the fuzzy responses and their memberships. Practical computations show that the algebraic given here has a fast convergence speed and a high computation precision and a stable numerical results, it can overcome the difficulty in solving the fuzzy wave responses' memberships.

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