SEMI-ANALYTICAL AND SEMI-NUMERICAL METHOD FOR DYNAMIC ANALYSIS OF FOUNDATION

A semi-analytical and semi-numerical method is proposed for the dynamic analysis of foundations. The Lamb's solution and the approximate formulae were used to establish the relation of the contact force and deflection between the foundation and soil. Therefore, the foundation can be separated from soil and analyzed by FEM as for the static cases. The plate can be treated as that the known forces are acting on the upper surface, and the contact pressure from soil can be represented as the deflection. So that only the plate needs to be divided into elements in the analysis. By this method, a series of vibration problems, including various shapes and rigidities of foundations, different excitation frequencies, were analyzed. Furthermore, it can be used for the embedded foundation. The numerical examples show that this method has simplicity, highly accurate and versatile. It is an effective method for the dynamic analysis of foundations.     

Periodicity and strict oscillation for generalized lyness equations

ＩｎｔｒｏｄｕｃｔｉｏｎＣｏｎｓｉｄｅｒｔｈｅｆｏｌｌｏｗｉｎｇｄｅｌａｙｄｉｆｆｅｒｅｎｃｅｅｑｕａｔｉｏｎｘｎ 1=ｘｎ(ａ ｂｘｎ)ｘｎ- 1,　　ｎ=0 ,1 ,2 ,… ,(1 )ｗｈｅｒｅａ ,ｂ∈ [0 ,∞ )ｗｉｔｈａ ｂ>0 (2 )ａｎｄｗｈｅｒｅｔｈｅｉｎｉｔｉａｌｖａｌｕｅｓｘ- 1ａｎｄｘ0 ａｒｅａｒｂｉｔｒａｒｙｐｏｓｉｔｉｖｅｎｕｍｂｅｒｓ.Ｅｑ .(1 )ｉｓｒｅｇａｒｄｅｄａｓａｇｅｎｅｒａｌｉｚｅｄＬｙｎｅｓｓｅｑｕａｔｉｏｎｂｙＧ .Ｌａｄａｓｉｎ [1 ] .Ｏｂｖｉｏｕｓｌｙ ,ｕｎｄｅｒｃｏｎｄｉｔｉｏｎ (2 ) ,…     

Synthesis,Structure and Luminescent Property of Two New 2D Metal‐organic Frameworks containing Lanthanide Ions

Two novel lanthanide‐based coordination polymers with 2D lattice‐type motif, [Ln₂(CAM)₃(H₂O)₄]·2H₂O (CAM = 4‐Hydroxypyridine‐2,6‐dicarboxylate; Ln = Tb( 1 ), Pr( 2 )), have been prepared by hydrothermal reaction of Ln(OH)₃, CAM and water at 160 °C and characterized by single‐crystal X‐ray diffraction analysis, IR and TGA. The investigation of luminescent property reveals that 1 exhibits characteristic green emission of Tb³⁺ ions.     

STUDY OF THE NONLINEAR THREE-DIMENSIONAL DEBYE SCREENING IN PLASMAS

Ａｆｕｎｄａｍｅｎｔａｌｃｈａｒａｃｔｅｒｉｓｔｉｃｏｆｐｌａｓｍａｓｉｓｔｈｅｉｒ,ａｂｉｌｉｔｙｔｏｓｍｅａｒｏｕｔｅｌｅｃｔｒｉｃｆｉｅｌｄｓ.ＴｈｉｓｉｓａｔｙｐｉｃａｌｎｏｎｌｉｎｅａｒｐｒｏｂｌｅｍｏｆｓｏｌｖｉｎｇｔｈｅＰｏｉｓｓｏｎｅｑｕａｔｉｏｎ.Ｔｈｅｐｒｅｖｉｏｕｓｓｔｕｄｙｏｆｔｈｅｎｏｎｌｉｎｅａｒｐｒｏｂｌｅｍｉｓｕｓｕａｌｌｙｂａｓｅｄｏｎａｌｉｎｅａｒｉｚｅｄｍｅｔｈｏｄｗｈｅｎｔｈｅｐｏｔｅｎｔｉａｌｅｎｅｒｇｙｏｆｔｈｅｐａｒｔｉｃｌｅｓｉｓｍｕｃｈｓｍａｌｌｅ…     

Adjoint system integrals for optimal spaceN-impulse transfer

The adjoint system integrals for time free, optimal N-impulse transfer during a firing period in 5-phase selected are derived. Biography: Wu Yuliang (1944-)     

GENERAL SOLUTION OF THE OVERALL BENDING OF FLEXIBLE CIRCULAR RING SHELLS WITH MODERATELY SLENDER RATIO AND APPLICATIONS TO THE BELLOWS (Ⅱ)- CALCULATION FOR OMEGA-SHAPED BELLOWS

is one of the applications of (Ⅰ), in which the angular stiffness, the lateral stiffness and the corresponding stress distributions of Omega-shaped bellows were calculated, and the present results were compared with those of the other theories and experiments. It is shown that the non-homogeneous solution of (Ⅰ) can solve the pure bending problem of the bellows by itself, and be more effective than by the theory of slender ring shells; but if a lateral slide of the bellows support exists the non-homogeneous solution will no longer entirely satisfy the boundary conditions of the problem, in this case the homogeneous solution of (Ⅰ) should be included, that is to say, the full solution of (Ⅰ) can meet all the requirements.