Dynamic Testing and Analysis of Poisson’s Ratio of Lumbers Based on the Cantilever-Plate Bending Mode Shape Method

2018 ◽  
Vol 47 (4) ◽  
pp. 20160521 ◽  
Author(s):  
Yu Cao ◽  
Minmin Li ◽  
Zheng Wang ◽  
Yunlu Wang ◽  
Zizhen Gao
Keyword(s):  
Mode Shape ◽  
Poisson’S Ratio ◽  
Dynamic Testing ◽  
Poisson's Ratio ◽  
Plate Bending ◽  
Cantilever Plate ◽  
Bending Mode

scholarly journals Measurement of the Poisson’s Ratio of Materials Based on the Bending Mode of the Cantilever Plate

BioResources ◽  
2016 ◽  
Vol 11 (3) ◽  
Author(s):  
Zizhen Gao ◽  
Xian Zhang ◽  
Yunlu Wang ◽  
Renchen Yang ◽  
Ganggang Wang ◽  
...  
Keyword(s):  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Cantilever Plate ◽  
Bending Mode

scholarly journals Direct Determination of Dynamic Elastic Modulus and Poisson’s Ratio of Timoshenko Rods

Vibration ◽  
2019 ◽  
Vol 2 (1) ◽  
pp. 157-173 ◽  
Author(s):  
Guadalupe Leon ◽  
Hung-Liang Chen
Keyword(s):  
Exact Solution ◽  
Finite Element ◽  
Elastic Constants ◽  
Frequency Ratio ◽  
Poisson’S Ratio ◽  
Direct Determination ◽  
Poisson's Ratio ◽  
Torsional Mode ◽  
Bending Mode ◽  
Resonance Frequencies

In this paper, the exact solution of the Timoshenko circular beam vibration frequency equation under free-free boundary conditions was determined with an accurate shear shape factor. The exact solution was compared with a 3-D finite element calculation using the ABAQUS program, and the difference between the exact solution and the 3-D finite element method (FEM) was within 0.15% for both the transverse and torsional modes. Furthermore, relationships between the resonance frequencies and Poisson’s ratio were proposed that can directly determine the elastic constants. The frequency ratio between the 1st bending mode and the 1st torsional mode, or the frequency ratio between the 1st bending mode and the 2nd bending mode for any rod with a length-to-diameter ratio, L/D ≥ 2 can be directly estimated. The proposed equations were used to verify the elastic constants of a steel rod with less than 0.36% error percentage. The transverse and torsional frequencies of concrete, aluminum, and steel rods were tested. Results show that using the equations proposed in this study, the Young’s modulus and Poisson’s ratio of a rod can be determined from the measured frequency ratio quickly and efficiently.

A new dynamic testing method for elastic, shear modulus and Poisson’s ratio of concrete

2015 ◽  
Vol 100 ◽  
pp. 129-135 ◽  
Author(s):  
Zhiheng Wang ◽  
Zizhen Gao ◽  
Yunlu Wang ◽  
Yu Cao ◽  
Ganggang Wang ◽  
...  
Keyword(s):  
Shear Modulus ◽  
Poisson’S Ratio ◽  
Dynamic Testing ◽  
Poisson's Ratio ◽  
Testing Method ◽  
Elastic Shear Modulus ◽  
Elastic Shear

Dynamic testing and analysis of Poisson’s ratio constants of timber

2016 ◽  
Author(s):  
Gang-Gang Wang ◽  
Xian Zhang ◽  
Zi-Zhen Gao ◽  
Yun-Lu Wang ◽  
Cao Yu ◽  
...  
Keyword(s):  
Poisson’S Ratio ◽  
Dynamic Testing ◽  
Poisson's Ratio

The Model for Calculating Elastic Modulus and Poisson's Ratio of Coal Body

2013 ◽  
Vol 6 (1) ◽  
pp. 36-43 ◽  
Author(s):  
Ai Chi ◽  
Li Yuwei
Keyword(s):  
Elastic Modulus ◽  
Poisson’S Ratio ◽  
Fractured Rock ◽  
Rock Block ◽  
Poisson's Ratio ◽  
Linear Elastic ◽  
Study Results ◽  
The Face ◽  
Block Face ◽  
Coal Rock

Coal body is a type of fractured rock mass in which lots of cleat fractures developed. Its mechanical properties vary with the parametric variation of coal rock block, face cleat and butt cleat. Based on the linear elastic theory and displacement equivalent principle and simplifying the face cleat and butt cleat as multi-bank penetrating and intermittent cracks, the model was established to calculate the elastic modulus and Poisson's ratio of coal body combined with cleat. By analyzing the model, it also obtained the influence of the parameter variation of coal rock block, face cleat and butt cleat on the elastic modulus and Poisson's ratio of the coal body. Study results showed that the connectivity rate of butt cleat and the distance between face cleats had a weak influence on elastic modulus of coal body. When the inclination of face cleat was 90°, the elastic modulus of coal body reached the maximal value and it equaled to the elastic modulus of coal rock block. When the inclination of face cleat was 0°, the elastic modulus of coal body was exclusively dependent on the elastic modulus of coal rock block, the normal stiffness of face cleat and the distance between them. When the distance between butt cleats or the connectivity rate of butt cleat was fixed, the Poisson's ratio of the coal body initially increased and then decreased with increasing of the face cleat inclination.

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