Tolerance Induced Performance Variation of a High-Resolution Compliant Micro Stage

2007 ◽  
Author(s):  
Jhy-Cherng Tsai ◽  
Mandy Hsiao ◽  
Jau-Liang Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
High Resolution ◽  
Natural Frequency ◽  
Sensitivity Analyses ◽  
Compliant Structure ◽  
Nano Scale ◽  
Leaf Springs ◽  
Performance Variation ◽  
Element Method

Micro stage employs compliant structure is crucial for precision machinery as it can achieve nano-scale resolution fine displacement by deformation. This paper investigates the variations of stiffness and natural frequency due to dimensional tolerances of such a compliant micro stage that is suspended by four leaf springs and rotates with respect to hinges. Performances of the stage are evaluated by finite element method for various dimensions to investigate the effects of dimensions. A series of sensitivity analyses are also performed to investigate how tolerances affect the performance of the stage. It shows that the stiffness and natural frequency of the stage are strongly affected by the dimensions of leaf springs and the hinges. That is, tolerances of these dimensions are crucial and must be well designed and strictly controlled. It further shows that performance variation due to tolerances are nonlinear but can be properly designed with this approach.

Natural Frequencies of Rectangular Membrane With Boundary Perturbation

1995 ◽  
Vol 1 (2) ◽  
pp. 139-144 ◽  
Author(s):  
Jamal A. Masad
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Galerkin Method ◽  
Natural Frequency ◽  
Natural Frequencies ◽  
Perturbation Approach ◽  
Boundary Perturbation ◽  
The Finite Element Method ◽  
Analytic Expression ◽  
Element Method

A perturbation approach, coupled with the adjoint concept, is used to derive an analytic expression for the natural frequencies of a nearly rectangular membrane. The method is applied for a rectangular membrane with a semicircle at one of the boundaries. The fundamental natural frequency results for this configuration are presented and compared with results from a finite-element method and results from an approximate Galerkin method. The agreement between the fundamental natural frequencies calculated with the perturbation approach and those calculated with the finite-element method improves as the radius of the semicircle decreases and as the semicircle location becomes more eccentric.

Simulation and Analysis of Cantilever-Membrane Structure for Piezoresistive Micro-Accelerometers

2012 ◽  
Vol 503 ◽  
pp. 87-90 ◽  
Author(s):  
Yan Liu ◽  
Yu Long Zhao ◽  
Lu Sun
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Natural Frequency ◽  
Frequency Band ◽  
Membrane Structure ◽  
Measurement Sensitivity ◽  
First Order ◽  
Working Frequency ◽  
Element Method

Dynamic and static performances are the most important parameters for accelerometers. The natural frequency decides the sensor’s working frequency band, and the accompanying stress represents the measurement sensitivity. In this paper, a novel sensing structure, cantilever-membrane structure, for piezoresistive accelerometers is studied, in order to detect the structural dimension’s effect on the sensor. With the help of FEM (Finite element method) software, the first order natural frequency of the cantilever-membrane based accelerometer is investigated with the different combinations of membrane’s dimensions. The accompanying stress of the sensing structure is also simulated in this paper. The results show that the membrane’s dimensions affect the frequency and stress more tempestuously when the membrane is short, but the tendency become gentle when the width of the membrane increases.

Robust Optimization for Tube Bending Process Based on Finite Element Method

2012 ◽  
Vol 531-532 ◽  
pp. 746-750
Author(s):  
Xue Wen Chen ◽  
Ze Hu Liu ◽  
Jing Li Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Robust Design ◽  
Process Parameters ◽  
Design Method ◽  
Design Parameters ◽  
Tube Bending ◽  
Performance Variation ◽  
Bending Process ◽  
Element Method

The main causes of performance variation in tube bending process are variations in the mechanical properties of material, initial tube thickness, coefficient of friction and other forming process parameters. In order to control this performance variation and to optimize the tube bending process parameters, a robust design method is proposed in this paper for the tube bending process, based on the finite element method and the Taguchi method. During the robust design process, the finite element analysis is incorporated to simulate the tube bending process and calculate the objective function value, the orthogonal design method is selected to arrange the simulation experiments and calculate the S/N ratio. Finally, a case study for the tube bending process is implemented. With the objective to control tube crack (reduce the maximum thinning ratio) and its variation, the robust design mathematical model is established. The optimal design parameters are obtained and the maximum thinning ratio has been reduced and its variation has been controlled.

Analysis of Composite Leaf Springs Using Finite Element Method

2020 ◽  
pp. 479-488
Author(s):  
S. Geetha Satya Sai ◽  
Venigalla Sailesh ◽  
S. K. Mobin ◽  
T. Subash Chandra Bose ◽  
Y. Sai Krishna ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Leaf Springs ◽  
Element Method

Vibration characteristics of steering columns with bellows

2001 ◽  
Vol 215 (2) ◽  
pp. 171-178
Author(s):  
K H Kim ◽  
G H Han ◽  
H K Kim
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Optimal Design ◽  
Vibration Characteristics ◽  
Sensitivity Analyses ◽  
Design Parameters ◽  
The Finite Element Method ◽  
Negative Effects ◽  
Vibration Sensitivity ◽  
Element Method

Bellows can be used as collapse elements for automotive steering columns. The crash performance of the steering column can be significantly improved with the bellows. However, the bending flexibility of the bellows has negative effects on the vibration characteristics. An effort is made to improve the vibration characteristics of steering columns with bellows. To understand the effects of various design parameters on the collapse and vibration, sensitivity analyses are performed by the finite element method using Taguchi's scheme. It is shown that the structure of the upper mounting bracket is the most important parameter affecting the vibration characteristics. An optimal design is proposed for a lower tilt type steering column.

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