Application of Three-Moment Equation in Rudder Stock's Force Calculation

2013 ◽  
Vol 347-350 ◽  
pp. 3435-3439
Author(s):  
Bin Can Zhang
Keyword(s):  
Mechanical Model ◽  
Reaction Force ◽  
Bending Moment ◽  
Moment Equation ◽  
Strength Theory ◽  
Check Calculation ◽  
Conventional Methods ◽  
Force Calculation

The mechanical model of the rudder stock is established. The rudder stock can be simplified into a statically indeterminate beam. The reaction force from the support, torque and bending moment within the length of the rudder stock can be solved using three-moment equation. The stress in the profile of the stock is checked using the fourth strength theory. The calculation is directly carried out based on Ship Specification of Classification and Shipbuilding. Compared with the conventional methods, the results show that three-moment equation is correct and available in check calculation.

Analysis of Dynamic Characteristics of Pile-Soil Coupling Effect in Consideration of Large Span Cable-Stayed Bridge

2014 ◽  
Vol 501-504 ◽  
pp. 1270-1273
Author(s):  
Wen Yuan Chen
Keyword(s):  
Axial Force ◽  
Soil Structure ◽  
Coupling Effect ◽  
Reaction Force ◽  
Bending Moment ◽  
Internal Force ◽  
Cable Stayed Bridge ◽  
Long Span ◽  
Pile Cap ◽  
Force Calculation

Using the viscouselastic artificial boundary, three conditions of long-span cable-stayed bridge are analyzed,such as pile cap consolidation, pile - structure and pile soil structure interaction. Natural frequency of bridge of pile - soil - structure coupling becomes small and cycle becomes long. The pile bottom reaction force decreased obviously, at the same time, the axial force , bending moment, axial force of cable, tower of axial force and bending moment is also reduced significantly. Cable-stayed bridge is a special flexible structure, so, static internal force calculation in the tower bottom consolidation pattern is safe, but the value is too large.

Mechanics Properties Influence on Ball Mill Rotator through Sliding Shoes Position Change

2013 ◽  
Vol 694-697 ◽  
pp. 864-867
Author(s):  
Qing Yi Men ◽  
Guang Wei Cheng
Keyword(s):  
Mechanical Model ◽  
Ball Mill ◽  
Theoretical Basis ◽  
Bending Moment ◽  
Shearing Force ◽  
Strength Theory ◽  
Ball Mills ◽  
Position Change ◽  
The Third ◽  
Light Weighting

In this paper, the ball mills supported with double sliding shoes and the edge-transmission are compared. The mechanical model of ball mill supported with the double sliding shoes is established. The shearing force diagram, bending moment diagram and torque diagram are been carried out with the alteration of the double sliding shoes. After the support position improved, the felicitous rotator thickness is calculated based on the Third Strength Theory. It is showed by the calculation result; the rotator in manufacturing according to the experience is too thick. The thickness of the ball mill can be reduced. Then the weight of the ball mill can be reduced too. The light weighting design theoretical basis for large equipment is provided.

scholarly journals Infinite Element Static-Dynamic Unified Artificial Boundary

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Zhiqiang Song ◽  
Fei Wang ◽  
Yujie Liu ◽  
Chenhui Su
Keyword(s):  
Reaction Force ◽  
Tangential Direction ◽  
Dynamic Effects ◽  
Artificial Boundary ◽  
Infinite Element ◽  
Dynamic Synthesis ◽  
Dynamic Boundary ◽  
Static Calculation ◽  
Force Calculation ◽  
External Wave

The method, which obtains a static-dynamic comprehensive effect from superposing static and dynamic effects, is inapplicable to large deformation and nonlinear elastic problems under strong earthquake action. The static and dynamic effects must be analyzed in a unified way. These effects involve a static-dynamic boundary transformation problem or a static-dynamic boundary unified problem. The static-dynamic boundary conversion method is tedious. If the node restraint reaction force caused by a static boundary condition is not applied, then the model is not balanced at zero moment, and the calculation result is distorted. The static numerical solution error is large when the structure possesses tangential static force in a viscoelastic static-dynamic unified boundary. This paper proposed a new static-dynamic unified artificial boundary based on an infinite element in ABAQUS to solve static-dynamic synthesis effects conveniently and accurately. The static and dynamic mapping theories of infinite elements were introduced. The characteristic of the infinite element, which has zero displacement at faraway infinity, was discussed in theory. The equivalent nodal force calculation formula of infinite element unified boundary was deduced from an external wave input. A calculation and application program of equivalent nodal forces was developed using the Python language to complete external wave inputting. This new method does not require a static and dynamic boundary transformation and import of stress field and constraint counterforce of boundary nodes. The static calculation precision of the infinite element unified boundary is more improved than the viscoelastic static-dynamic unified boundary, especially when the static load is in the tangential direction. In addition, the foundation simulation range of finite field can be significantly reduced given the utilization of the infinite element static dynamic unified boundary. The preciseness of static calculation and dynamic calculation and static-dynamic comprehensive analysis are unaffected.

scholarly journals Application of Laplace Transform to the Free Vibration of Continuous Beams

2017 ◽  
Vol 63 (1) ◽  
pp. 163-180 ◽  
Author(s):  
H.B. Wen ◽  
T. Zeng ◽  
G.Z. Hu
Keyword(s):  
Free Vibration ◽  
Laplace Transform ◽  
Reaction Force ◽  
Bending Moment ◽  
Frequency Equation ◽  
Simplified Model ◽  
Continuous Beam ◽  
Transform Method ◽  
Continuous Beams ◽  
Vibration Problems

AbstractLaplace Transform is often used in solving the free vibration problems of structural beams. In existing research, there are two types of simplified models of continuous beam placement. The first is to regard the continuous beam as a single-span beam, the middle bearing of which is replaced by the bearing reaction force; the second is to divide the continuous beam into several simply supported beams, with the bending moment of the continuous beam at the middle bearing considered as the external force. Research shows that the second simplified model is incorrect, and the frequency equation derived from the first simplified model contains multiple expressions which might not be equivalent to each other. This paper specifies the application method of Laplace Transform in solving the free vibration problems of continuous beams, having great significance in the proper use of the transform method.

scholarly journals Dynamic analysis of a ten-link tooth-lever differential transmission

2021 ◽  
Vol 939 (1) ◽  
pp. 012024
Author(s):  
A Abdukarimov ◽  
I Saidakulov
Keyword(s):  
High Speed ◽  
Reaction Force ◽  
Transmission Mechanism ◽  
Force Analysis ◽  
Axis Of Rotation ◽  
Processed Material ◽  
Differential Transmission ◽  
External Forces ◽  
Force Calculation ◽  
Force Characteristics

Abstract This article discusses the dynamics of a ten-link tooth-lever differential transmission mechanism. The force analysis of the transmission mechanism is given in order to find the dependence for determining the reaction in kinematic pairs and the balancing moment of the pair of forces and to show some features of the tooth-lever transmission mechanism. The force calculation was carried out taking into account the accelerated movement of links since their acceleration in modern high-speed machines is very significant. To obtain a more accurate concept of the external forces and moments loading the transmission mechanism in the accelerated movement of the links, the dynamics of the transient process of roller technological machines was considered. Cases of feeding the processed material were considered both from the side of the intermediate gears and from the side opposite to the parasitic gears. Dependencies were obtained to determine the force characteristics of this mechanism. Cases of pressure unloading and overloading on the processed material from the side of the free shaft, depending on the location of the transmission mechanism are shown. The dependence of the reaction force of intermediate gears on their own axes of rotation on the angle between the levers is shown. With an increase in the angle between the levers, the reaction of the intermediate gears on the axis of rotation increases.

Large-amplitude undulatory fish swimming: fluid mechanics coupled to internal mechanics

1999 ◽  
Vol 202 (23) ◽  
pp. 3431-3438 ◽  
Author(s):  
T.J. Pedley ◽  
S.J. Hill
Keyword(s):  
Vortex Ring ◽  
Large Amplitude ◽  
Muscle Activation ◽  
Bending Moment ◽  
Hydrodynamic Pressure ◽  
Moment Equation ◽  
Panel Method ◽  
The Body ◽  
Undulatory Swimming ◽  
Body Theory

The load against which the swimming muscles contract, during the undulatory swimming of a fish, is composed principally of hydrodynamic pressure forces and body inertia. In the past this has been analysed, through an equation for bending moments, for small-amplitude swimming, using Lighthill's elongated-body theory and a ‘vortex-ring panel method’, respectively, to compute the hydrodynamic forces. Those models are outlined in this review, and a summary is given of recent work on large-amplitude swimming that has (a) extended the bending moment equation to large amplitude, which involves the introduction of a new (though probably usually small) term, and (b) developed a large-amplitude vortex-ring panel method. The latter requires computation of the wake, which rolls up into concentrated vortex rings and filaments, and has a significant effect on the pressure on the body. Application is principally made to the saithe (Pollachius virens). The calculations confirm that the wave of muscle activation travels down the fish much more rapidly than the wave of bending.

Mechanical Characterization of Beams on Tensionless Foundation Materials

2016 ◽  
Vol 867 ◽  
pp. 152-156
Author(s):  
Xiao Liang Chen ◽  
Quan Hu Yang ◽  
Jian Ping Ding
Keyword(s):  
Mechanical Characterization ◽  
Reaction Force ◽  
Bending Moment ◽  
Cubic Polynomial ◽  
Internal Forces ◽  
The Finite Difference Method ◽  
The Difference ◽  
Relative Errors ◽  
Tensionless Foundation

The deformation and internal forces of beams on tensionless foundation materials were studied. The reaction force between the beam the foundation was fitted as a cubic polynomial about the deflection based on the experimental data, and the corresponding control equations of beams were derived by the finite difference method. Results show there are significant differences between tensionless and tensional foundation materials for the deformation and internal forces of beams. The difference is varying with the length of beams. Both the relative errors of the maximum of deflection and slope can be over 20%, and the relative errors of the maximum of shearing force and bending moment are smaller comparatively, so the tensionless effect of foundation materials can not be neglected for the stiffness verification and the strength verification of beams.

Design of Debris Shield of Powered Support with 6.2M Large Mining Height

2010 ◽  
Vol 44-47 ◽  
pp. 1246-1250
Author(s):  
Jing Chen ◽  
Shao Xiang Hao ◽  
Xun Fan
Keyword(s):  
Mechanical Model ◽  
Mechanical Characteristics ◽  
General Structure ◽  
Mining Industry ◽  
Overall Design ◽  
Powered Support ◽  
Large Mining Height ◽  
Force Calculation ◽  
Mining Height

One of the difficulties of the world’s mining industry is how to ensure safe and reliable work of the powered support with large mining height more than 6m. The paper introduces the design and calculation of debris shield of the powered shield support with 6.2M large mining height. In this paper, first mechanical model of powered support with large mining height was established, the mechanical characteristics of powered support was analyzed, and overall design of powered support and general structure of debris shield could be done according to the force calculation.

Finite Element Analysis of the Influence of Balance Mode on Rolling Mill Universal Spindle Strength

2014 ◽  
Vol 548-549 ◽  
pp. 449-453 ◽  
Author(s):  
Zhi Qiang Guo ◽  
Ze Lu Xu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Mechanical Model ◽  
Rolling Mill ◽  
Loading Condition ◽  
Equivalent Stress ◽  
Bending Moment ◽  
Element Model ◽  
Element Analysis ◽  
Universal Spindle

For the problem of balance bearing of universal spindle in rolling mill being prone to damage, the paper established mechanical model and finite element model of universal spindle. The paper has analyzed that the shear and bending moment in the middle of the shaft is the largest. The fillet near shoulder of balance bearing of the spindle is dangerous part. In order to reduce principal stress of universal spindle caused by moment, the paper improved balance mode of the spindle. The equilibrant was applied from in one place of shaft to put in two places. After optimizing, equivalent stress of the spindle is slight smaller than before under the same loading condition, which illustrates that the strength of the spindle is appropriately improved. Although the effect is not obvious, this has played a guiding role for the optimization of balance mode of universal spindle.

Band Gap Formation in Metamaterial Beam With Torsional Local Resonators for Vibration Suppression

2020 ◽  
Author(s):  
Yupei Jian ◽  
Guobiao Hu ◽  
Lihua Tang ◽  
Kean C. Aw
Keyword(s):  
Wave Propagation ◽  
Band Structure ◽  
Band Gap ◽  
Structure Analysis ◽  
Shear Force ◽  
Vibration Suppression ◽  
Fundamental Problem ◽  
Reaction Force ◽  
Beam Theory ◽  
Bending Moment

Abstract Locally resonant metamaterials have attracted lots of research interests for the application of vibration suppression which is a fundamental problem but remains a big challenge in the engineering field. The transverse wave propagation in a beam is through the transmission of the shear force and bending moment. Most designs of metamaterials in the existing literature exploit translational local resonators to induce reaction force to prevent the transmission of the shear force, hence the wave propagation. This paper studies a metamaterial beam attached with torsional local resonators. The reaction moments generated by the torsional resonators are expected to neutralize the bending moment in the beam, thus preventing the wave propagation. The existence of torsional resonators leads to the moment discontinuity conditions which cannot be directly taken into account using the Euler beam theory. Based on the Timoshenko beam theory, the band structure analysis is developed through a modal analysis based on the infinite periodic local resonator structure. The numerical results reveal that the locally resonant frequency corresponds to the upper bound of the band gap. Both infinitely long and finitely long beams are also modeled using finite element method. The transmittance is calculated to verify the band structure analysis.

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