scholarly journals An improved generalized Lagrangian analysis method for attenuating waves

AIP Advances ◽  
2019 ◽  
Vol 9 (8) ◽  
pp. 085214
Author(s):  
Jiangping Chen ◽  
Weijun Tao ◽  
Shi Huan
Keyword(s):  
Analysis Method ◽  
Lagrangian Analysis ◽  
Generalized Lagrangian

Lagrangian Analysis Method with Least Square Cubic B-Spline

2011 ◽  
Vol 94-96 ◽  
pp. 1681-1684
Author(s):  
Wei Jun Tao ◽  
Shi Huan ◽  
Xiang Qian Tan ◽  
Guo Ping Jiang
Keyword(s):  
Least Square ◽  
Analysis Method ◽  
Lagrangian Analysis ◽  
B Spline ◽  
One Dimensional ◽  
Field Information ◽  
Strain Stress ◽  
Stress Profiles ◽  
Physical Quantities ◽  
Stress Relation

The Lagrangian analysis method is re-analyzed. It is shown that when a series of stress profiles (or strain profiles, or particle velocity profiles) are measured to determine the strain-stress relation. In this paper, the stress histories at different Lagrange positions are measured by one dimensional SHPB experiments. The variation histories of various physical quantities are fitted to least square cubic B-spline function with a sufficient accuracy definite condition. The path lines of these quantities are constructed in terms of a least square quadratic polynomial. A program for inert flow of Lagrangian analysis (IFLA) is worked out. Taking the data of experiments as the input for the IFLA, the flow field information is solved. The error analysis shows that such a method has a definite reliability and stability.

Research on Steering Characteristics of Multi-Axles Steering Vehicle

2011 ◽  
Vol 97-98 ◽  
pp. 685-689 ◽  
Author(s):  
Yun Chao Wang ◽  
Er Zhong An ◽  
Mei Zhou
Keyword(s):  
Theoretical Basis ◽  
Steering System ◽  
Physical Parameters ◽  
Analysis Method ◽  
Vehicle Model ◽  
Lagrangian Analysis ◽  
Power Steering System ◽  
Power Steering ◽  
Adams Software ◽  
Steering Characteristics

A 3-DOF multi-axle steering vehicle model were established using Lagrangian analysis method, including steering system stiffness, cornering stiffness and power steering system. The vehicle model is verified correctly and universally by using front wheels steering vehicle model. Based on the vehicle model, the steady circling parameters of multi-axle steering vehicle are presented. The effects of vehicle physical parameters on the steering characteristics of multi-axle steering vehicle are analyzed. To further demonstrate the correctness of multi-axle steering vehicle model, a three-axle steering vehicle model were built by ADAMS software. It is a theoretical basis for the design of multi-axle steering vehicle and the evaluation of steering characteristics.

Critical Initiating State and 2D Lagrangian Analysis of Pressed TNT

2011 ◽  
Vol 94-96 ◽  
pp. 1715-1718 ◽  
Author(s):  
Shi Huan ◽  
Wei Jun Tao ◽  
Feng Lei Huang ◽  
Guo Ping Jiang
Keyword(s):  
Particle Velocity ◽  
Radial Displacement ◽  
Flow Model ◽  
Relative Volume ◽  
Analysis Method ◽  
Lagrangian Analysis ◽  
Shock Initiation ◽  
Gauge Data ◽  
Growth Reaction

Shock initiation experiments on the explosives pressed TNT was performed to obtain in-situ pressure/radial displacement gauge data for the purpose of determining the Ignition and Growth reaction flow model with proper modeling parameters. The pressure and radial displacement were got by manganin-constantan composite 2-D Lagrange sensor. The particle velocity, relative volume, internal energy and fraction reacted of shock initiation process has been calculated by 2-D Lagrangian analysis method.

scholarly journals An improvement of the Lagrangian analysis method based on particle velocity profiles

2018 ◽  
Vol 183 ◽  
pp. 01023
Author(s):  
Yuanyuan Ding
Keyword(s):  
Particle Velocity ◽  
Split Hopkinson Pressure Bar ◽  
Reliability And Validity ◽  
Analysis Method ◽  
Hopkinson Pressure Bar ◽  
Lagrangian Analysis ◽  
Stress Strain ◽  
Zero Initial Condition ◽  
Boundary Stress ◽  
Wave Profiles

In general, techniques used in studies on dynamic behaviour of materials could be classified into two categories, namely the split Hopkinson pressure bar technique (SHPB) and the wave propagation technique (WPT). Lagrangian analysis method is one of the most famous methods in WPT. The traditional Lagrangian analysis based on the particle velocity wave-profiles measurements should consider a boundary condition, because it involves integral operations. However, the boundary stress data in some cases cannot be detected or determined by the experimental measures. To tackle this situation, this paper presents a modified Lagrangian analysis method which does not involve the boundary stress computation. Starting from the path-lines method and utilizing the zero-initial condition, the material constitutive stress-strain curves under high strain-rates is deduced from only observing the particle velocity curve measurements. The dynamic stress/strain wave-profiles of the PMMA material, as a paradigm, are numerically studied using the proposed method, which are well in agreement with the theoretical result using the method of characteristics, which confirms the reliability and validity of the presented method.

Dynamic Mechanical Behavior of Reinforced Concrete

2010 ◽  
Vol 168-170 ◽  
pp. 139-142
Author(s):  
Hai Feng Liu ◽  
Wei Wu Yang ◽  
Jian Guo Ning
Keyword(s):  
Reinforced Concrete ◽  
Mechanical Behavior ◽  
Dynamic Compression ◽  
Strain Rates ◽  
Analysis Method ◽  
Lagrangian Analysis ◽  
Linear Rate ◽  
Gas Gun ◽  
Dynamic Mechanical Behavior ◽  
Confining Pressures

The dynamic compression experiments of reinforced concrete are carried out by one-stage light gas gun apparatus which subjects the reinforced concrete to deformation at strain rates of the order of 104/s with confining pressures of 1~1.5GPa. The stress-strain curves of reinforced concrete with different impact velocities are obtained using Lagrangian analysis method. Experimental results indicate that reinforced concrete is non-linear, rate-sensitive and pressure-dependent.

Impact of analysis method on anthocyanin content of elderberry products

Planta Medica ◽  
2007 ◽  
Vol 73 (09) ◽  
Author(s):  
C Chrubasik ◽  
T Maier ◽  
M Luond ◽  
A Schieber
Keyword(s):  
Anthocyanin Content ◽  
Analysis Method
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