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Forced vibration and special effects of revolution shells in turning point range
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作者 张志良 程昌钧 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第7期861-872,共12页
The forced vibration in the turning point frequency range of a truncated revolution shell subject to a membrane drive or a bending drive at its small end or large end is studied by applying the uniformly valid solutio... The forced vibration in the turning point frequency range of a truncated revolution shell subject to a membrane drive or a bending drive at its small end or large end is studied by applying the uniformly valid solutions obtained in a previous paper. The vibration shows a strong coupling between the membrane and bending solutions: either the membrane drive or the bending drive causes motions of both the membrane type and bending type. Three interesting effects characteristic of the forced vibration emerge from the coupling nature: the non-bending effect, the inner-quiescent effect and the inner-membrane-motion-and-outer-bending-motion effect. These effects may have potential applications in engineering. 展开更多
关键词 forced vibration special effect turning point range revolution shell
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FINITE ELEMENT DISPLACEMENT PERTURBATION METHOD FOR GEOMETRIC NONLINEAR BEHAVIORS OF SHELLS OF REVOLUTION OVERALL BEDING IN A MERIDIONAL PLANE AND APPLICATION TO BELLOW (Ⅱ) 被引量:1
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作者 ZHU Wei-ping(朱卫平) +1 位作者 HUANG Qian(黄黔) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第12期1390-1406,共17页
The finite_element_displacement_perturbation method (FEDPM)for the geometric nonlinear behaviors of shells of revolution subjected to pure bending moments or lateral forces in one of their meridional planes (Ⅰ) was e... The finite_element_displacement_perturbation method (FEDPM)for the geometric nonlinear behaviors of shells of revolution subjected to pure bending moments or lateral forces in one of their meridional planes (Ⅰ) was employed to calculate the stress distributions and the stiffness of the bellows. Firstly, by applying the first_order perturbation solution (the linear solution)of the FEDPM to the bellows, the obtained results were compared with those of the general solution and the initial parameter integration solution proposed by the present authors earlier, as well as of the experiments and the FEA by others.It is shown that the FEDPM is with good precision and reliability, and as it was pointed out in (Ⅰ) the abrupt changes of the meridian curvature of bellows would not affect the use of the usual straight element. Then the nonlinear behaviors of the bellows were discussed. As expected, the nonlinear effects mainly come from the bellows ring plate,and the wider the ring plate is, the stronger the nonlinear effects are. Contrarily, the vanishing of the ring plate, like the C_shaped bellows, the nonlinear effects almost vanish. In addition, when the pure bending moments act on the bellows, each convolution has the same stress distributions calculated by the linear solution and other linear theories, but by the present nonlinear solution they vary with respect to the convolutions of the bellows. Yet for most bellows, the linear solutions are valid in practice. 展开更多
关键词 shell of revolution BELLOWS deflection by lateral force geometrical non_linearity perturbation technique finite element method
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FINITE ELEMENT DISPLACEMENT PERTURBATION METHOD FOR GEOMETRIC NONLINEAR BEHAVIORS OF SHELLS OF REVOLUTION OVERALL BENDING IN A MERIDIONAL PLANE AND APPLICATION TO BELLOWS (Ⅰ)
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作者 ZHU Wei-ping(朱卫平) +1 位作者 HUANG Qian(黄黔) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第12期1374-1389,共16页
In order to analyze bellows effectively and practically, the finite_element_displacement_perturbation method (FEDPM) is proposed for the geometric nonlinear behaviors of shells of revolution subjected to pure bending ... In order to analyze bellows effectively and practically, the finite_element_displacement_perturbation method (FEDPM) is proposed for the geometric nonlinear behaviors of shells of revolution subjected to pure bending moments or lateral forces in one of their meridional planes. The formulations are mainly based upon the idea of perturba_ tion that the nodal displacement vector and the nodal force vector of each finite element are expanded by taking root_mean_square value of circumferential strains of the shells as a perturbation parameter. The load steps and the iteration times are not as arbitrary and unpredictable as in usual nonlinear analysis. Instead, there are certain relations between the load steps and the displacement increments, and no need of iteration for each load step. Besides, in the formulations, the shell is idealized into a series of conical frusta for the convenience of practice, Sander's nonlinear geometric equations of moderate small rotation are used, and the shell made of more than one material ply is also considered. 展开更多
关键词 shell of revolution BELLOWS deflection by lateral force geometrical nonlinearity perturbation technique finite element method
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EQUATION IN COMPLEX VARIABLE OF AXISYMMETRICAL DEFORMATION PROBLEMS FOR A GENERAL SHELL OF REVOLUTION
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作者 钱伟长 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第7期605-620,共16页
In this paper, the equation of axisymmetrical deformation problems for a general shell of revolution is derived in one complex variable under the usual Love-Kirchhoff assumption. In the case of circular ring shells, t... In this paper, the equation of axisymmetrical deformation problems for a general shell of revolution is derived in one complex variable under the usual Love-Kirchhoff assumption. In the case of circular ring shells, this equation may be simplified into the equation given by F.Tdlke(1938)[3]. R.A. Clark(1950 )[4] and V. V.Novozhilov(1951)[5]. When the horizontal radius of the shell of revolution is much larger than the average radius of curvature of meridian curve, this equation in complex variable may be simplified into the equation for slander ring shells. If the ring shell is circular in shape, then this equation can be reduced into the equation in complex variable for slander circular ring shells given by this author (1979)[6]. If the form of elliptic cross-section is near a circle, then the equation of slander ring shell with near-circle ellipitic cross-section may be reduced to the complex variable equation similar in form for circular slander ring shells. 展开更多
关键词 EQUATION IN COMPLEX VARIABLE OF AXISYMMETRICAL DEFORMATION PROBLEMS FOR A GENERAL shell OF revolution
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GENERAL AXISYMMETRY PROBLEMS FOR SHELLS OF REVOLUTION AND ANALYSES OF INTEGRAL EQUATION
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作者 陈山林 刘东 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第6期503-512,共10页
In this paper, a simplified equation in complex form for axisymmetry elastic thin shells of revolution under arbitrary distributed loads is given. The equation is equivalent to the exact equations within the error ran... In this paper, a simplified equation in complex form for axisymmetry elastic thin shells of revolution under arbitrary distributed loads is given. The equation is equivalent to the exact equations within the error range of the thin shell theory, with the singularities at the points of meridional extreme values eliminated. A Volterra integral equation of the problem and the numerical solutions are given. 展开更多
关键词 shell of revolution axisymmetry problems integral equation
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COMPLEX EQUATIONS OF FLEXIBLE CIRCULAR RINGSHELLS OVERALL_BENDING IN A MERIDIAN PLANE AND GENERAL SOLUTION FOR THE SLENDER RING SHELLS 被引量:5
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作者 朱卫平 黄黔 郭平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第9期952-959,共8页
Complex equations of circular ring shells and slender ring shells overall-bending in a meridian plane are presented based on E. L. Axelrad's equations of flexible shells of revolution render asymmetrical lending. ... Complex equations of circular ring shells and slender ring shells overall-bending in a meridian plane are presented based on E. L. Axelrad's equations of flexible shells of revolution render asymmetrical lending. It turns out that the equations are analogous to Novozhilov's equations of symmetrical ring shells, where general sollutions have been given by W. Z. Chien. Therefore, by analogy with Chien's solution, a general solution for equations of the slender ring shells is put forward, which can be used to salve bellow's overall-bending problems. 展开更多
关键词 flexible shells shells of revolution circular ring shells curved-tubes BELLOWS
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Application of Non-homogeneous Solution for Equations of Slender Ring Shells to Overall-Bending Problem of Ω-Shaped Bellows 被引量:2
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作者 Zhu Weiping Guo Ping (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University) 《Advances in Manufacturing》 SCIE CAS 1999年第2期37-42,共6页
A linear complex equation for slender ring shells overall bending in a meridian plane is given based on E. L. Axelrad's theory of flexible shells. And the non homogeneous solution is obtained from W. Z. Chien... A linear complex equation for slender ring shells overall bending in a meridian plane is given based on E. L. Axelrad's theory of flexible shells. And the non homogeneous solution is obtained from W. Z. Chien's solution for axial symmetrical slender ring shells to investigate the overall bending problem of Ω shaped bellows subjected to pure bending moments. The values calculated in the present paper are very close to the existing experiment. Thus Chien's work on axial symmetrical problems for ring shells has been extended to overall bending problems. 展开更多
关键词 flexible shells shells of revolution circular ring shells curved tubes BELLOWS
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Incremental deformation analysis of shell and corrugated diaphragm based on arbitrary configuration
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作者 Xuefeng He Jue Zhang Huijun Chen Jing Fang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2005年第6期592-600,共9页
With respect to an arbitrary configuration of a deformed structure, two sets of incremental equations are proposed for the deformation analysis of revolution shells and diaphragms loaded by both lateral pressures and ... With respect to an arbitrary configuration of a deformed structure, two sets of incremental equations are proposed for the deformation analysis of revolution shells and diaphragms loaded by both lateral pressures and the initial stresses produced in manufacturing. These general equations can be reduced to the simplified Koiter's Reissner-Meissner-Reissner (RMR) equations and the simplified Reissner's equations, when the initial stresses are set to zero. They can also be deduced to the total Lagrange form or the updated Lagrange form, respectively, as the structure is spec- ified as the un-deformed or the former-deformed configurations. These incremental equations can be easily transformed into finite difference forms and solved by common numerical solvers of ordinary differential equations. Some numerical examples are presented to show the applications of the incremental equations to the deep shell of revolution and the corrugated diaphragms used in microelectronical mechanical system (MEMS). The results are in good agreement with those from finite element method (FEM). 展开更多
关键词 shell of revolution MEMS diaphragms Incremental equations Arbitrary configuration Nonlinear behaviors
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Plastic Buckling of Stiffened Torispherical Shell
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作者 郝刚 曾广武 郝强 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第10期1003-1012,共10页
This paper uses the nonlinear prebuckling consisten theory to analyse the plasticbuckling problem of of stiffned torispherical shell under uniform exlernal pressure. Thebuckling equation and energy expressions of t... This paper uses the nonlinear prebuckling consisten theory to analyse the plasticbuckling problem of of stiffned torispherical shell under uniform exlernal pressure. Thebuckling equation and energy expressions of the shell are built. the calculation formulais presented Numerical examples show that method in ths paper has betterprecision and the calculating process is very simple. 展开更多
关键词 stiffened shell of revolution torispherical shell uniform externalpressure plastic buckling
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PLASTIC BUCKLING OF STIFFENED TORISPHERICAL SHELL
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作者 郝刚 曾广武 郝强 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第5期1003-1012,共10页
This paper uses the nonlinear prebuckling consisten theory to analyse the plaslicbuckling problem of stiffened torispherical shell under uniform external pressure. Thebuckling equation and energr expressions of the ... This paper uses the nonlinear prebuckling consisten theory to analyse the plaslicbuckling problem of stiffened torispherical shell under uniform external pressure. Thebuckling equation and energr expressions of the shell are built, the calculalion formulais presented. Numerical examples show that the method in this paper has betterprecision and the calculating process is very simple. 展开更多
关键词 stiffened shell of revolution. torispherical shell. uniform externalpressure plastic buckling
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GENERAL SOLUTION FOR U-SHAPED BELLOWS OVERALL-BENDING PROBLEMS 被引量:4
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作者 朱卫平 郭平 黄黔 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第4期371-382,共12页
The formulae for stresses and angular displacements of U-shaped bellows overall bending in a meridian plane under pure bending moments are presented based on the general solution for slender ring shells proposed by Zh... The formulae for stresses and angular displacements of U-shaped bellows overall bending in a meridian plane under pure bending moments are presented based on the general solution for slender ring shells proposed by Zhu Weiping, et al. and the solution for ring plates. The results evaluated in this paper are compared with those on EJMA (standards of the expansion joint manufacturers association) and of the experiment given by Li Tingxilz, et al. 展开更多
关键词 flexible shells shells of revolution circular ring shells BELLOWS U-shaped bellows
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MODELING AND DYNAMICS ANALYSIS OF SHELLS OF REVOLUTION BY PARTIALLY ACTIVE CONSTRAINED LAYER DAMPING TREATMENT 被引量:3
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作者 Qiao Ni Yu Xiang +1 位作者 Yuying Huang Jing Lu 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2013年第5期468-479,共12页
A new model for a smart shell of revolution treated with active constrained layer damping (ACLD) is developed, and the damping effects of the ACLD treatment are discussed. The motion and electric analytical formulat... A new model for a smart shell of revolution treated with active constrained layer damping (ACLD) is developed, and the damping effects of the ACLD treatment are discussed. The motion and electric analytical formulation of the piezoelectric constrained layer are presented first. Based on the authors~ recent research on shells of revolution treated with passive constrained layer damping (PCLD), the integrated first-order differential matrix equation of a shell of revolution partially treated with ring ACLD blocks is derived in the frequency domain. By virtue of the extended homogeneous capacity precision integration technology, a stable and simple numerical method is further proposed to solve the above equation. Then, the vibration responses of an ACLD shell of revolution are measured by using the present model and method. The results show that the control performance of the ACLD treatment is complicated and frequency-dependent. In a certain frequency range, the ACLD treatment can achieve better damping characteristics compared with the conventional PCLD treatment. 展开更多
关键词 active constrained layer damping (ACLD) shell of revolution integrated first-orderdifferential matrix equation control performance damping characteristics
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A FINITE ELEMENT/BOUNDARY ELEMENT——MODIFIED MODAL DECOMPOSITION METHOD FOR VIBRATION AND SOUND RADIATION FROM SUBMERGED SHELL OF REVOLUTION
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作者 ZHANG Jingdong and HE Zouyong(Harbin shipbuilding Engineering Institute) 《Chinese Journal of Acoustics》 1989年第4期315-324,共10页
A finite element / boundary element-modified modal decomposition method (FBMMD) is presented for predicting the vibration and sound radiation from submerged shell of revolution. Improvement has been made to accelerate... A finite element / boundary element-modified modal decomposition method (FBMMD) is presented for predicting the vibration and sound radiation from submerged shell of revolution. Improvement has been made to accelerate the convergence to FBMD method by means of introducing the residual modes which take into accaunt the quasi -state contributiort of all neglected modes. As an example, the vibration and sound radiation of a submerged spherical shell excited by axisymmetric force are studied in cases of ka=l,2,3 and 4. From the calculated results we see that the FBMMD method shows a significant improvement to the accuracy of surface sound pressure, normal displacement and directivity patterns of radiating sound, especially to the directivity patterns. 展开更多
关键词 MODIFIED MODAL DECOMPOSITION METHOD FOR VIBRATION AND SOUND RADIATION FROM SUBMERGED shell OF revolution A FINITE ELEMENT/BOUNDARY ELEMENT FBM
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