Improved Frequency Equations for Calculating the Young’s Modulus of Bars of Rectangular or Circular Cross Section from Their Flexural Resonant Frequencies

2010 ◽  
Vol 7 (8) ◽  
pp. 102953 ◽  
Author(s):  
S. W. Dean ◽  
Paul A. Bosomworth
Keyword(s):  
Young’S Modulus ◽  
Cross Section ◽  
Young's Modulus ◽  
Circular Cross Section ◽  
Resonant Frequencies

An Optical Interference Method of Measuring Young's Modulus for Rods

1924 ◽  
Vol 22 (3) ◽  
pp. 475-480 ◽  
Author(s):  
G. F. C. Searle
Keyword(s):  
Cast Iron ◽  
Young’S Modulus ◽  
Cross Section ◽  
Young's Modulus ◽  
Circular Cross Section ◽  
Interference Method ◽  
Optical Interference ◽  
Iron Base ◽  
General Arrangement ◽  
Metal Plates

The general arrangement of the apparatus is shown in Fig. 1. A vertical steel rod AA of circular cross-section is fixed to a heavy cast-iron base Z shown diagrammatically in the figure. The rod AA is bent by a load applied to the end of the horizontal bar BC carried by the upper end of A A. The point of application of the load is defined by a transverse groove cut in the bar. The rod AA passes through the two metal plates DD, FF, which are soldered to the rod, the faces of these plates being horizontal.

scholarly journals Optimized CNT-PDMS Flexible Composite for Attachable Health-Care Device

Sensors ◽  
2020 ◽  
Vol 20 (16) ◽  
pp. 4523 ◽  
Author(s):  
Jian Du ◽  
Li Wang ◽  
Yanbin Shi ◽  
Feng Zhang ◽  
Shiheng Hu ◽  
...  
Keyword(s):  
Composite Material ◽  
Percolation Threshold ◽  
Young’S Modulus ◽  
Cross Section ◽  
Young's Modulus ◽  
Large Strain ◽  
Weight Ratio ◽  
Linear Range ◽  
Wide Range ◽  
The Cross

The CNT-PDMS composite has been widely adopted in flexible devices due to its high elasticity, piezoresistivity, and biocompatibility. In a wide range of applications, CNT-PDMS composite sensors were used for resistive strain measurement. Accordingly, the percolation threshold 2%~4% of the CNT weight ratio in the CNT-PDMS composite was commonly selected, which is expected to achieve the optimized piezoresistive sensitivity. However, the linear range around the percolation threshold weight ratio (2%~4%) limits its application in a stable output of large strain (>20%). Therefore, comprehensive understanding of the electromechanical, mechanical, and electrical properties for the CNT-PDMS composite with different CNT weight ratios was expected. In this paper, a systematic study was conducted on the piezoresistivity, Young’s modulus, conductivity, impedance, and the cross-section morphology of different CNT weight ratios (1 to 10 wt%) of the CNT-PDMS composite material. It was experimentally observed that the piezo-resistive sensitivity of CNT-PDMS negatively correlated with the increase in the CNT weight ratio. However, the electrical conductivity, Young’s modulus, tensile strength, and the linear range of piezoresistive response of the CNT-PDMS composite positively correlated with the increase in CNT weight ratio. Furthermore, the mechanism of these phenomena was analyzed through the cross-section morphology of the CNT-PDMS composite material by using SEM imaging. From this analysis, a guideline was proposed for large strain (40%) measurement applications (e.g., motion monitoring of the human body of the finger, arm, foot, etc.), the CNT weight ratio 8 wt% was suggested to achieve the best piezoresistive sensitivity in the linear range.

The Effects of Texture and Doping on The Young's Modulus of Polysilicon

1998 ◽  
Vol 518 ◽  
Author(s):  
Sangwoo Lee ◽  
Changho Cho ◽  
Jongpal Kim ◽  
Sangjun Park ◽  
Sangwoo Yi ◽  
...  
Keyword(s):  
Young’S Modulus ◽  
Microelectromechanical Systems ◽  
Young's Modulus ◽  
Chemical Deposition ◽  
Phosphorus Doping ◽  
Resonant Frequencies ◽  
Pressure Chemical ◽  
Polysilicon Films ◽  
Deposition Processes ◽  
Post Deposition

AbstractPolysilicon films deposited by low pressure chemical deposition (LPCVD) are the most widely used structural material for microelectromechanical systems (MEMS). However, the structural properties of LPCVD polysilicon films are known to vary significantly, depending on deposition conditions as well as post-deposition processes. This paper investigates the effects of phosphorus doping and texture on Young's modulus of polysilicon films. Polysilicon films are depostied at 585°C, 605"C, and 625°C to a thickness of 2µm. Specimens with varying phosphorus doping levels are prepared by diffusion doping at various temperatures and times using both POCl3 and phosphorsilicate glass (PSG) as the source. Texture is measured using an X-ray diffractometer. Young's modulus is calculated by taking the average of the values calculated from the resonant frequencies of four-different size lateral resonators. Our results show that Young's modulus of diffusion doped polysilicon films decreases with increasing doping concentration, and increases with increasing <111> texture.

Quasistatic Model for the Symmetrical Ring Spinning Triangle

2011 ◽  
Vol 331 ◽  
pp. 498-501
Author(s):  
Xin Jin Liu ◽  
Xu Zhong Su ◽  
Ting Ting Wu
Keyword(s):  
Theoretical Model ◽  
Young’S Modulus ◽  
Cross Section ◽  
Young's Modulus ◽  
Force Balance ◽  
Ring Spinning ◽  
Torsion Moment ◽  
Fiber Tension ◽  
Convergence Point ◽  
Spinning Triangle

In this paper, theoretical model of the distribution of fiber tension in the symmetrical spinning triangle was given firstly. Then, based on the force balance of the twisting point, the quasistatic model for the symmetrical ring spinning triangle was present. It is shown that the convergence point can be determined with ease for different spinning tension, torsion moment, the numbers of fibers at the roller nip, the fiber tensile Young’s modulus and cross-section, and the width of the spinning triangle.

Elastic Properties of Normal and Binormal Helical Nanowires

2006 ◽  
Vol 963 ◽  
Author(s):  
Alexandre Fontes da Fonseca ◽  
C P Malta ◽  
Douglas S Galvão
Keyword(s):  
Simple Model ◽  
Young’S Modulus ◽  
Elastic Properties ◽  
Cross Section ◽  
Young's Modulus ◽  
Helical Axis ◽  
Geometric Features ◽  
Kirchhoff Rod ◽  
Rod Model ◽  
The Cross

ABSTRACTA helical nanowire can be defined as being a nanoscopic rod whose axis follows a helical curve in space. In the case of a nanowire with asymmetric cross section, the helical nanostructure can be classified as normal or binormal helix, according to the orientation of the cross section with respect to the helical axis of the structure. In this work, we present a simple model to study the elastic properties of a helical nanowire with asymmetric cross section. We use the framework of the Kirchhoff rod model to obtain an expression relating the Hooke's constant, h, of normal and binormal nanohelices to their geometric features. We also obtain the Young's modulus values. These relations can be used by experimentalists to evaluate the elastic properties of helical nanostructures. We showed that the Hooke's constant of a normal nanohelix is higher than that of a binormal one. We illustrate our results using experimentally obtained nanohelices reported in the literature.

scholarly journals The Sonic Resonance Method and the Impulse Excitation Technique: A Comparison Study

2021 ◽  
Vol 11 (22) ◽  
pp. 10802
Author(s):  
Tomáš Húlan ◽  
Filip Obert ◽  
Ján Ondruška ◽  
Igor Štubňa ◽  
Anton Trník
Keyword(s):  
Cross Section ◽  
Rectangular Cross Section ◽  
Circular Cross Section ◽  
Resonance Method ◽  
Resonant Frequencies ◽  
Mean Values ◽  
Impulse Excitation ◽  
The Mean ◽  
The Relationship ◽  
Resonant Method

In this study, resonant frequencies of flexurally vibrating samples were measured using the sonic resonant method (SRM) and the impulse excitation technique (IET) to assess the equivalency of these two methods. Samples were made from different materials and with two shapes (prism with rectangular cross-section and cylinder with circular cross-section). The mean values and standard deviations of the resonant frequencies were compared using the t-test and the F-test. The tests showed an equivalency of both methods in measuring resonant frequency. The differences between the values measured using SRM and IET were not significant. Graphically, the relationship between the resonant frequencies is a line with a slope of 0.9993 ≈ 1.

scholarly journals Determination of Young’s modulus of Sb2S3 nanowires by in situ resonance and bending methods

2016 ◽  
Vol 7 ◽  
pp. 278-283 ◽  
Author(s):  
Liga Jasulaneca ◽  
Raimonds Meija ◽  
Alexander I Livshits ◽  
Juris Prikulis ◽  
Subhajit Biswas ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Young’S Modulus ◽  
Cross Section ◽  
Young's Modulus ◽  
Cross Sectional ◽  
Bending Tests ◽  
Young’S Moduli ◽  
Increasing Trend

In this study we address the mechanical properties of Sb2S3 nanowires and determine their Young’s modulus using in situ electric-field-induced mechanical resonance and static bending tests on individual Sb2S3 nanowires with cross-sectional areas ranging from 1.1·104 nm2 to 7.8·104 nm2. Mutually orthogonal resonances are observed and their origin explained by asymmetric cross section of nanowires. The results obtained from the two methods are consistent and show that nanowires exhibit Young’s moduli comparable to the value for macroscopic material. An increasing trend of measured values of Young’s modulus is observed for smaller thickness samples.

scholarly journals Simulation of resonanse oscillations of a cantilever-fixed polymer rod

2019 ◽  
pp. 149-150
Author(s):  
Volodymyr Andriyovich Mashchenko ◽  
Valentin Krivtsov ◽  
Volodymyr Kvasnikov
Keyword(s):  
Resonance Frequency ◽  
Young’S Modulus ◽  
Cross Section ◽  
Rectangular Cross Section ◽  
Complex Dynamic ◽  
Resonant Frequencies ◽  
The Real ◽  
Dynamic Young’S Modulus ◽  
Dynamic Young's Modulus ◽  
Resonance Oscillations

The process of resonance oscillations of a cantilever-fixed polymer rod with a rectangular cross section is considered. The values of the resonant frequencies of the own oscillations of the rod were obtained. The possibility of determining the real and imaginary parts of a complex dynamic Young's modulus of a polymeric rod at basic resonance frequency is shown.

Effect of In Situ Doped Nitrogen Concentrations on the Characteristics of Poly 3C-SiC Micro Resonators

2010 ◽  
Vol 645-648 ◽  
pp. 873-876
Author(s):  
Gwiy Sang Chung ◽  
Kyu Hyung Yoon
Keyword(s):  
Thin Films ◽  
Young’S Modulus ◽  
Room Temperature ◽  
Young's Modulus ◽  
Resonant Frequencies ◽  
N Doping ◽  
Nitrogen Concentrations

This paper describes the characteristics of polycrystalline 3C-SiC micro resonators with 3 ×1017 - 1×1019 cm-3 in-situ N-doping concentrations. In this work, the 1.2 μm thick cantilevers and the 0.4 μm thick doubly-clamped beam micro resonators with various lengths were implemented using in-situ doping poly 3C-SiC thin films. The characteristics of the poly 3C-SiC micro resonators were evaluated using quartz actuator and optical read-out vibrometer under vacuum conditions at room temperature. The resonant frequencies of the SiC micro resonators decreased with doping concentrations owing to the reduction of the Young's modulus of the poly 3C-SiC thin films. It was confirmed that the resonant frequencies of the poly 3C-SiC micro- resonators are controllable by adjusting the doping concentrations.

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