Analysis of Cylindroid Shell Subject to Internal Linearly-Increased Pressure

2011 ◽  
Vol 239-242 ◽  
pp. 2584-2589
Author(s):  
Zan Zhi Wang ◽  
Lin Yan Jiang

Close cylindroid shells are widely used in many industrial branches. Membrane theory of shells is used to take an analytical solution to investigate the internal force distributions and deformation laws of such shells. The result shows that, under the condition of two-point simple supports, among three force components(meridional forceT1, circumferential forceT2, and shear forceT12),T1is the dominant one, which is negative (compressional) in the vicinity of the neutral axis, and becomes positive (tensional) after being away from the neutral axis. The shear forceT12is rather like a sine curve, which changes its sign at the neutral axis. This type of shear force distribution leads to a warp deformation within the cylinder.T2is always the tensional force, and when comparing to the other two components, it is too small to be dominant in shell designing. Somewhat similar to the three force components, among the three deformation components, the normal displacementwis the extreme one, and also it varies acutely. The circumferential displacementvis much less thanw, which is compressive below the neutral axis, and becomes tensile above the neutral axis. In the nearby of neutral axis,vis nearly zero. Compared towandv, the meridional displacementuis always the minimal.

2010 ◽  
Vol 146-147 ◽  
pp. 991-995
Author(s):  
Zhi Bing Chu ◽  
Qing Xue Huang ◽  
Zhi Yuan Zhang ◽  
Dan Li

Based on rolling-cut shear simulation, using a kind of single-shaft and double eccentricity rolling-cut shear, which adopts a new structure of asymmetric feature and negative bias, as the calculating model by establishing motion path equation of spatial shear mechanism, comparing with the steel shear forces, link forces and horizontal link force components with or without asymmetric feature, the asymmetric formulation is deduced. Such asymmetric crank structure can decrease horizontal force component between the linkages during rolling-cut process, increase the effective drive force on links while it comes to the maximum shear force, and decrease the extrusion of blade arc on steel edge as well. Theoretical analysis and steel-shearing quality at site indicate that asymmetric and negative bias is an important and efficient way to prolong the lifetime of blade, decrease blade wear, improve shearing quality, and maintain the constant clearance between blades.


2010 ◽  
Vol 452-453 ◽  
pp. 509-512
Author(s):  
Yao Guo Zhu ◽  
Qing Xiang Wang

Nowadays embedded parts which connect steel members with concrete structures have frequently emerged in civil engineering; however the existing design code for embedded parts cannot satisfy the increasing demand of engineering as it was derived from limited experiments. In the paper, a finite element study on embedded parts with big-diameter reinforcing bars under shear force is conducted. The aim of the study was to fully investigate the mechanical performances of embedded parts under shear force using a three-dimensional finite element analysis with the help of a commercial software ANSYS. Cross-section internal force of anchor bar, embedded part deformation, interaction force between anchor bar and concrete, and friction force were investigated in order to well know the system response. The results show that the shear capacity of embedded part obtained from finite element analysis is conservative.


2009 ◽  
Vol 131 (1) ◽  
Author(s):  
Tian Ran Lin ◽  
Jie Pan ◽  
Chris Mechefske

In this paper, an analytical solution is derived and used for studying the effect of off-neutral axis loading (point force excitation applied off the neutral axis of a rib) on ribbed-plate responses. Effects of off-neutral axis loading on ribbed-plate responses, in terms of input power and kinetic energy distribution in the component plates, are found to be significant except at frequencies where the beam flexural impedance is small (near the natural frequencies of the uncoupled beam). The negative input power component due to the point force or moment excitation is observed and explained in this analysis. Energy flow from the beam to the plates is dominated by the shear force coupling at the beam/plate interface if the force excitation is applied on the neutral axis of the beam. As the point force excitation location shifts away from the neutral axis, the beam is excited by a force and a moment. These dual excitations involve both shear force and moment couplings at the interface. Thus, changes in the energy flow into the component plates are dependent on the relative phase between the individual induced responses by the point force and moment excitations. This paper also discusses changes in the kinetic energy of the component plates due to changes in the energy flow.


1984 ◽  
Vol 106 (3) ◽  
pp. 301-311 ◽  
Author(s):  
I. S. Fischer ◽  
F. Freudenstein

The literature on the internal forces in Cardan joints, which is sparse, tacitly assumes the vanishing of certain force components. For a joint of ideal proportions the torque transmission has been analyzed, but the force transmission has been only partially developed. In this investigation the displacement analysis and static force and torque analysis of a Cardan joint with manufacturing tolerances has been derived. The forces have been shown to be statically indeterminate by a degree of three. An experiment was undertaken to check on the validity of the assumed vanishing of the abovementioned force components. For the particular joint tests this assumption was not valid. Based on the displacement analysis, which includes the axial sliding at the joints in the presence of manufacturing errors, optimum tolerances can be determined in the design stage. Further experimentation is recommended in order to determine representative magnitudes of the abovementioned axial joint forces in joints of varying constructions and sizes. Together with the static analysis which has been developed in this investigation this will permit the sizing of universal joints in the design stage.


Author(s):  
Igor Orynyak ◽  
Andrii Oryniak

There is the general feeling among the scientists that everything what could be performed by theoretical analysis for cylindrical shell was already done in last century, or at least, would require so tremendous efforts, that it will have a little practical significance in our era of domination of powerful and simple to use commercial software. Present authors partly support this point of view. Nevertheless there is one significant mission of theory which is not exhausted yet, but conversely is increasingly required for engineering community. We mean the educational one, which would provide by rather simple means the general understanding of the patterns of deformational behavior, the load transmission mechanisms, and the dimensionless combinations of physical and geometrical parameters which governs these patterns. From practical consideration it is important for avoiding of unnecessary duplicate calculations, for reasonable restriction of the geometrical computer model for long structures, for choosing the correct boundary conditions, for quick evaluation of the correctness of results obtained. The main idea of work is expansion of solution in Fourier series in circumferential direction and subsequent consideration of two simplified differential equations of 4th order (biquadratic ones) instead of one equation of 8th order. The first equation is derived in assumption that all variables change more quickly in axial direction than in circumferential one (short solution), and the second solution is based on the opposite assumption (long solution). One of the most novelties of the work consists in modification of long solution which in fact is well known Vlasov’s semi-membrane theory. Two principal distinctions are suggested: a) hypothesis of inextensibility in circumferential direction is applied only after the elimination of axial force; b) instead of hypothesis zero shear deformation the differential dependence between circumferential displacement and axial one is obtained from equilibrium equation of circumferential forces by neglecting the forth order derivative. The axial force is transmitted to shell by means of short solution which gives rise (as main variables in it) to a radial displacement, its angle of rotation, bending radial moment and radial force. The shear force is also generated by it. The latter one is equilibrated by long solution, which operates by circumferential displacement, axial one, axial force and shear force. The comparison of simplified approach consisted from short solution and enhanced Vlasov’s (long) solution with FEA results for a variety of radius to wall thickness ratio from big values and up to 20 shows a good accuracy of this approach. So, this rather simple approach can be used for solution of different problems for cylindrical shells.


1992 ◽  
Vol 114 (3) ◽  
pp. 343-348 ◽  
Author(s):  
Z. Chaudhry ◽  
C. A. Rogers

Shape memory alloy hybrid composite materials have demonstrated numerous control capabilities. One such capability is the controlled bending of structures. In this paper the response of a cantilevered beam to an internal actuator is examined. The modeling of the compressive force exerted by the induced strain of the actuator on the beam is discussed. The results obtained from treating the force as an external follower force are presented. The response to an internal force such as exerted by an internal shape memory alloy actuator is quite different from that produced by loads due to sources external to the beam. Contrary to normal expectations such an internal force although compressive does not produce any buckling tendencies or any other instabilities in the beam. This principle which is already in use in the design of civil engineering structures is discussed in detail. If the actuators are embedded off of the neutral axis, then due to the eccentricity the beam bends, but again without any buckling tendency. The experimental results obtained for this configuration are also presented.


2010 ◽  
Vol 163-167 ◽  
pp. 1736-1743
Author(s):  
Jun Han ◽  
Ying Min Li ◽  
Wei Xian Chen ◽  
Wei Jiang ◽  
Wei Zhao

Reinforced concrete frame-shear wall structure is a double resistance to lateral force system, in which the frames and shear walls work cooperatively and the distributive rule of the earthquake force varies with different earthquake actions. To ensure the frames bear the increasing earthquake shear force and play a role of second defense line due to the internal force re-distribution after the stiffness degradation of shear walls, the elastic design earthquake shear force of the frames should be adjusted. However the adjustment measures applied in Chinese code are proposed according to the design experiences of engineers and lack of the theoretical and computational analytical basis. Moreover, there is a dispute about ignoring the rule of the shear force redistribution along storey or not, it is necessary to further evaluate the rationality of the measures in the code. In this paper, based on a 3-D precise nonlinear frame-shear wall structure analysis model, the re-distributive rule of the internal force under strong earthquake was studied and the adjustment measures of earthquake force in the frames were checked. Finally, some design suggestions were proposed.


2012 ◽  
Vol 166-169 ◽  
pp. 3087-3094
Author(s):  
Qiong Yu ◽  
Jian Li Xu ◽  
Xing Zhuang Zhao

Models for internal force analysis and strain distribution of joints of steel secondary beam inserted in reinforced concrete frame girder were analyzed. The horizontal internal force and vertical force were considered separately during calculation and analysis process. Bending-shearing correlation of vertical internal force was studied while the horizontal force wasn’t taken into account. Results show that the non-dimensional moment varies linearly with the non-dimensional shear force. Base on this, the formulas by which the joint moment and shear force are calculated are derived, and are related to depth ratio of forward to backward compression zone .And then the method to calculate joint moment capacity under horizontal force is put forward. By investigating the moment and shear force variation, the relationship between the yielding stress of the bar in the slab and the boundary concrete under the steel secondary beam crushing is identified. In the end, practical design method is proposed, and problems need further research are mentioned.


2010 ◽  
Vol 450 ◽  
pp. 71-74 ◽  
Author(s):  
Yue Hua Chen ◽  
Guo Yong Jin ◽  
Jing Tao Du ◽  
Zhi Gang Liu

A model of two coupled rectangular plates with elastically restrained coupling edge by using the Fourier series and Rayleigh-Ritz method is employed to analyze the power transmission and dynamic response, in which the flexural and in-plane vibrations are considered simultaneously. The contributions and effects of vibrational and internal force components of both flexural and in-plane vibration to the power transmission are investigated numerically. It is shown that the transverse shearing forces, twist moments and in-plane shearing forces have little influence on the power transmission, while the bending moments and the in-plane longitudinal forces play an important role in power transmission.


Geofluids ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Panpan Guo ◽  
Feifei Liu ◽  
Gang Lei ◽  
Xian Li ◽  
Cheng-wei Zhu ◽  
...  

This paper proposes a new method for predicting the displacement and internal force of constructed tunnels induced by adjacent excavation with dewatering. In this method, the total excavation-induced additional stress on the constructed tunnel is derived by superposing the additional stresses induced by excavation unloading and dewatering effects. The additional stress induced by unloading effect is calculated using Mindlin’s solution. The additional stress induced by dewatering effect is calculated using the principle of effective stress and the Dupuit precipitation funnel curve. With the beam on elastic foundation method, the total additional stress is then used for calculating the tunnel displacement and internal force caused by adjacent excavation with dewatering. Based on three well-documented case histories, the performance of the proposed method is verified. Moreover, a parametric analysis is also performed to capture the effects of excavation depth, tunnel-to-excavation distance, initial water level, excavation plan view size, and specific yield on the responses of the constructed tunnels. The results indicate that the effect of excavation depth on the tunnel maximum vertical displacement, maximum bending moment, and maximum shear force is more significant at an excavation depth greater than the cover depth of the constructed tunnel. The tunnel maximum vertical displacement, maximum bending moment, and maximum shear force decrease nonlinearly with an increase in the tunnel-to-excavation distance and the initial water level. Among the investigated parameters, the excavation dimension in the tunnel longitudinal direction affects most the tunnel responses. The effect of specific yield on the tunnel displacement and internal force induced by adjacent excavation with dewatering becomes more obvious as increasing the initial water level and excavation depth.


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