The Theoretical Analysis of Uniform FBG Local Transverse Force Characteristics

2011 ◽  
Vol 403-408 ◽  
pp. 1964-1967
Author(s):  
Zhao Xia Wu ◽  
Rui Mao ◽  
Zhi Yuan Zhang ◽  
Li Fu Wang
Keyword(s):  
Mathematical Model ◽  
Reflection Spectrum ◽  
Lateral Force ◽  
Transverse Force ◽  
Couple Mode ◽  
Hyperbolic Tangent ◽  
Couple Mode Theory ◽  
Spectrum Splitting ◽  
Split Point ◽  
Force Characteristics

In this paper,the transveral force on uniform FBG is specially analyzed according to the couple-mode theory and the corresponding mathematical model is established. Studies show that when the FBG under local transverse force, the length of pressure has no effect on the reflection spectrum. The wavelength of the reflection spectrum splitting point and lateral force possessed a direct proportional linear correlation, and has periodicity at the same time. The split point reflectivity and the force position approximately have hyperbolic tangent relationship.

DFB Lasers with Tilted Waveguide for Multi-Wavelength Generation

2007 ◽  
Vol 31 ◽  
pp. 36-38 ◽  
Author(s):  
Lip Fah Chong ◽  
Jing Hua Teng ◽  
Ee Leong Lim ◽  
Norman Soo Seng Ang ◽  
J.R. Dong ◽  
...  
Keyword(s):  
Single Mode ◽  
Distributed Feedback ◽  
Couple Mode ◽  
Threshold Condition ◽  
Couple Mode Theory ◽  
Gain Margin ◽  
Ridge Waveguides ◽  
Multi Wavelength ◽  
Dfb Laser ◽  
Lasing Frequency

In this paper, we present the theoretical investigation of index-coupled distributed feedback (DFB) laser with tilted single mode ridge waveguides. By tilting part of the ridge waveguide in various degrees, DFB laser with manifold effective grating periods can be realized. The structure is analyzed using couple mode theory in matrix form based on threshold analysis. Important parameters of DFB laser like resonant frequency and threshold gains are obtained by solving the eigen-equation. The results indicate not only that the lasing frequency is modulated by the waveguide titling angle, but also large Gain Margin (GM) can be achieved at the threshold condition which enhance the stable single mode operation in index-coupled DFB laser.

Evaluation of Tire and Suspension Characteristics With 6-DOF Motion Platform

2007 ◽  
Author(s):  
Taichi Shiiba ◽  
Koichiro Yamato ◽  
Kensuke Kobayashi ◽  
Tsuyoshi Okada ◽  
Keisuke Morita
Keyword(s):  
Testing Machine ◽  
Load Condition ◽  
Vertical Displacement ◽  
Lateral Force ◽  
Individual Characteristics ◽  
Suspension System ◽  
Motion Platform ◽  
Tire Force ◽  
The Individual ◽  
Force Characteristics

An accurate description of the tire characteristics is very important for vehicle dynamic analysis. However, the characteristics of a tire are very complex, and it is not easy to develop the analytical model of tire force. It is also well known that the actual tire force is greatly affected by the suspension properties. The geometry of suspension arms determines the wheel alignment specifications such as toe and camber angle, and the stiffness and damping characteristics of suspension elements influences the vertical load of each wheel. In order to investigate the suspension properties upon the tire force characteristics, the authors have developed an original tire and suspension testing machine with 6-DOF motion platform. This system is equipped with a tire, a suspension system of a passenger car, a roller conveyer, and a 6-DOF motion platform. The developed system can evaluate the relationship between the suspension system and the tire, whereas the conventional tire testing machine measures the individual characteristics of a tire. In this paper, we report some test results with developed testing system. First, the lateral force characteristics of a tire in steady-state cornering condition were evaluated with this system, and the compliance steer characteristics of a suspension caused by the lateral force were also investigated at the same time. Next, the tire force characteristics were evaluated under the varying load condition. The random vertical displacement generated by the 6-DOF motion platform was applied to the tire, and the vertical and lateral force were observed. It was shown that the developed system can realize the evaluation of tire and suspension characteristics under various conditions.

A Pseudo-Space Model of Steel Staggered Truss System

2011 ◽  
Vol 105-107 ◽  
pp. 990-993
Author(s):  
Xiao Juan Li
Keyword(s):  
Modal Analysis ◽  
Seismic Performance ◽  
Pushover Analysis ◽  
Lateral Force ◽  
Original Structure ◽  
New Model ◽  
Space Model ◽  
Staggered Truss System ◽  
Force Characteristics

A pseudo-space model as a new model of Steel Staggered Truss System was proposed to assess the transverse seismic performance of the structure. Modal analysis and pushover analysis were performed on the space model and the pseudo-space model of SSTS with SAP2000. Through comparing the results of models, it showed that the pseudo-space model reflected the lateral force characteristics of the original structure, and could simulate the stress mechanism of the structure under transverse seismic.

scholarly journals MATHEMATICAL MODEL OF INTERACTION OF MILLING KNIVES WITH SOIL

2018 ◽  
Vol 12 (4) ◽  
pp. 67-71
Author(s):  
Александр Акимов ◽  
Aleksandr Akimov ◽  
Юрий Константинов ◽  
Yuriy Konstantinov ◽  
Борис Туровский ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Translational Motion ◽  
Operating Mode ◽  
Geometric Parameters ◽  
Relative Depth ◽  
Power Characteristics ◽  
Proposed Model ◽  
Curved Blade ◽  
Kinematic Coefficient ◽  
Force Characteristics

As working units of tillage mills, both curved (L-shaped) blade knives and straight blade knives are used. The soil reactions to these working units depend on soil properties, geometric parameters of the working parts, parameters determining the modes of their operation and the angle of rotation of the working units. When constructing a mathematical model for the interaction of working parts with soil, all these factors must be taken into account, while striving to simplify the proposed model. Accounting for the dependence of force characteristics of the working units on the angle of their rotation is not an easy task, and in most cases it is solved with the help of specially set experiments. A mathematical model is proposed for the interaction of a direct lamellar milling knife with soil, which makes it possible to determine the components of the resulting soil reactions to such a knife, the total moment of these reactions, and the power consumed for cutting the soil, depending on the knife rotation angle. This model takes into account the geometry of the working unit through the radii of the hub and cutters, the angle of installation of the milling knife and its length. The operating mode of the knife is set by the kinematic coefficient, equal to the ratio of the circumferential velocity of the knife end to the speed of the translational motion of a mill, and the maximum relative depth of the milling knife in the soil. The constructed model makes it possible to determine the dependence of the maximum values of the considered power characteristics of the knife on the indicated geometric parameters and the parameters of the knife operating mode, which makes it possible to simplify experiments to determine the power characteristics of the cutter and significantly reduce its volume. This model can be used to select the optimal knife parameters. In addition, the proposed model can be used to calculate the power characteristics of the rack of a curved blade knife, which consumes a significant amount of energy during milling.

Novel Low Cost Experimental Procedures to Estimate Lateral Force Characteristics of a Tire

2016 ◽  
Author(s):  
Barath Mohan ◽  
KVM Raju ◽  
Sai Praveen Velagapudi ◽  
Chandramouli Padmanabhan
Keyword(s):  
Low Cost ◽  
Lateral Force ◽  
Force Characteristics

A Mathematical Model for Split Point Drill Flanks

1983 ◽  
Vol 105 (3) ◽  
pp. 137-142 ◽  
Author(s):  
T. Radhakrishnan ◽  
S. M. Wu ◽  
C. Lin
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Grinding Wheel ◽  
Planar Model ◽  
Grinding Parameters ◽  
Split Point ◽  
Flank Surface

For consistent and accurate production of a split (crankshaft) point drill, proper mathematical models are derived. Modification of the existing, basic conical flank model yields the model for the major (primary) flank surface. An independent, planar model for splitting the point (secondary flank) is also derived. The models yield grinding parameters to set the relative positions of the drill and the grinding wheel for precise production of the split point geometry.

Analysis of the Operation of an Arched Elastomeric Shock Absorber Under Two-Axial Loading

2021 ◽  
pp. 73-82
Author(s):  
V.B. Sinilschikov ◽  
K.V. Melikhov ◽  
S.A. Kunavich
Keyword(s):  
Shock Absorber ◽  
Axial Loading ◽  
Lateral Force ◽  
Element Analysis ◽  
Power Characteristics ◽  
Shock Absorbers ◽  
Analytic Expressions ◽  
Nonlinear Force ◽  
Simultaneous Loading ◽  
Force Characteristics

Elastomeric shock absorbers are used in various technical fields to protect equipment from impacts. Elastomers made in an arched shape have complex nonlinear force characteristics due to large deformations, loss of stability of working elements and closing of surfaces. In this regard, obtaining the power characteristics of arched elastomeric shock absorbers is a complex computational problem. It is noteworthy that, in the literature, these characteristics are given only for the case of normal compression. However, when assessing the possibility of using a shock-absorbing system based on arched elastomeric shock absorbers, it is necessary to take into account their lateral force. The study proposes to solve the problem of determining the elastic force characteristics of a shock absorber while operating in the normal and lateral directions in the system of finite element analysis in a flat formulation. Analytical expressions are obtained for the normal and transverse static reactions of the shock absorber under simultaneous loading in the normal and transverse directions. Analytic expressions can be used to simulate complex shock-absorbing systems with a large number of such shock absorbers.

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