Impacting a Clamped-Free Beam to Experimentally and Numerically Determine Higher Resonant Frequencies of Vibration

Author(s):  
Elvin B. Shields

Clamped-free (cantilever) beams have practical applications. For example, it is not possible to use normal means to determine the modulus of elasticity for thin films. However, the film material can be deposited onto the beam substrate by sputtering or by applying the additive manufacturing technique and thereby change the beam’s stiffness as suggested by Dias da Silva et al [1]. The stiffness change causes a shift in the natural frequencies of the vibration of the beam and this shift can be used to determine the material properties of the film. This study provides four methods of analysis: 1) formula calculation, which is used as the benchmark, 2) finite element method, 3) experimental method with accelerometer, and 4) experimental method with condenser microphone. Theoretical results are used as benchmarks and compared with the finite element method (FEM) and two experimental methods (accelerometer and condenser microphone). The challenge is to obtain results with the necessary accuracy (significant digits) at higher resonant frequencies of vibration. The two experimental methods were evaluated and the experimental method with condenser microphone showed the most promise for future work. Very little was found in the literature regarding the use of a condenser microphone to measure resonant frequencies.

2011 ◽  
Vol 383-390 ◽  
pp. 2845-2849
Author(s):  
Fei Chen ◽  
You Fu Hou ◽  
Hong Yun Wu ◽  
He Wei Wang

To obtain the dynamic characteristics of the disc brake, the modal of the disc of brake is analyzed by finite element method and experimental method, the natural frequency and the vibration mode of the disc are obtained, the research shows that the result of finite element method is basically identical with the experimental method. The axial vibration of the disc and tangential vibration of the brake pad are tested by experiment method and the time domain charts are obtained, the main vibration frequencies of brake are studied, the vibration cause is analyzed and the corresponding improvement measures are put forward.


1989 ◽  
Vol 111 (3) ◽  
pp. 257-263 ◽  
Author(s):  
Changhe Li ◽  
O. Bernasconi ◽  
N. Xenophontidis

A new analytic-experimental method for describing crack breathing and obtaining shaft local stiffness change is presented. A generalized nonlinear formulation using the finite element method, which can be widely used for both horizontal and vertical cracked shafts, is derived. Some results previously explicited in other studies are confirmed and clarified. This advanced model can serve as a solid basis for further studies.


2011 ◽  
Vol 10 (2) ◽  
pp. 339-370 ◽  
Author(s):  
Yunqing Huang ◽  
Hengfeng Qin ◽  
Desheng Wang ◽  
Qiang Du

AbstractWe present a novel adaptive finite element method (AFEM) for elliptic equations which is based upon the Centroidal Voronoi Tessellation (CVT) and superconvergent gradient recovery. The constructions of CVT and its dual Centroidal Voronoi Delaunay Triangulation (CVDT) are facilitated by a localized Lloyd iteration to produce almost equilateral two dimensional meshes. Working with finite element solutions on such high quality triangulations, superconvergent recovery methods become particularly effective so that asymptotically exact a posteriori error estimations can be obtained. Through a seamless integration of these techniques, a convergent adaptive procedure is developed. As demonstrated by the numerical examples, the new AFEM is capable of solving a variety of model problems and has great potential in practical applications.


2021 ◽  
Vol 4 (2) ◽  
pp. 109-115
Author(s):  
Salsabil karim Mohammed

All prosthetic foot designs, adapted in common use, don't imitate the specific qualities of a typical human foot. The premise of this task is to explore current prosthetics so as to plan and assemble a more human like prosthesis. In attempted such a structure, the new prosthesis will show a more extensive scope of qualities than those showed in current prosthetic feet. In doing as such, the new prosthesis will give a closer portrayal of the capacities inalienable to an ordinary human foot. The qualities associated with ordinary strolling incorporate dorsiflexion foot test. The qualities showed in the produced new foot tried are contrasted with those of" SACH foot". The qualities showed by prostheses which compared well with those of a human foot were researched further. Another prosthetic foot is structured and made from composite random E-glass-polyester.  The premise of the new prosthetic plan consolidates current prosthetic structure components, such as, prosthetic materials and segments.  The scientific part presents the aftereffects of the static investigation by techniques, such as, mathematical strategies (Finite Element method FEM) and experimental methods. Thus the new foot was designed and dorsiflexion were measured. The new prosthetic foot has  a good characteristics when compared with the SACH foot, such as good dorsiflexion (7°-6.4°) respectively.Prosthetic foot


Author(s):  
Jiemin Liu ◽  
Toshiyuki Sawa

Failure properties of bulk adhesive joints with Adhesively Filled Columns (AFCs) subjected to external loads were investigated by experimental method and finite element method (FEM). From the experiment results, it was found that the strengths of the bulk adhesive joints with AFCs increases considerably whether they are subjected to external tensile loads or lateral bending loads. And the joint strenghts increase with increasing of the depths of the blind holes. Failure process of the joints with AFCs was simulated by element birth-death technology developed in FEM. The conclusions obtained from FEM coincide with that obtained from the experiments.


2014 ◽  
Vol 800-801 ◽  
pp. 300-304
Author(s):  
Yu Wang ◽  
Bao Tao Wang ◽  
Shuai Qiao

High-temperature alloy can easily produce jagged chips in high-speed cutting conditions. The serrated chips will lead to the volatility of cutting force and impact the processing efficiency and quality. The formation mechanism of serrated chip has important significance to improve processing quality and efficiency. As the serrated chips have very short generation time, it is very hard to measure the changes of the stress, strain and temperature during the formation of serrated chips in experimental method. And it is more difficult to carry out quantitative and qualitative analysis. So it has been the research priorities and difficulties in the field of metal cutting. In this paper, both the finite element method simulation and experimental method are used to study the formation mechanism of serrated chip, deformation of material and the degree of variation of jagged. It has an important reference value to select cutting parameters for high-temperature alloy cutting.


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