Static response and free vibration of MEMS arches assuming out-of-plane actuation pattern

2019 ◽  
Vol 110 ◽  
pp. 44-57 ◽  
Author(s):  
Hassen M. Ouakad ◽  
Hamid M. Sedighi
Keyword(s):  
Free Vibration ◽  
Static Response ◽  
Out Of Plane

scholarly journals Out-of-Plane Vibration of Curved Uniform and Tapered Beams with Additional Mass

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Hamdi Alper Özyiğit ◽  
Mehmet Yetmez ◽  
Utku Uzun
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Boundary Conditions ◽  
Natural Frequencies ◽  
Variable Cross ◽  
Additional Mass ◽  
Inertia Effects ◽  
Tapered Beam ◽  
Out Of Plane ◽  
Good Agreement

As there is a gap in literature about out-of-plane vibrations of curved and variable cross-sectioned beams, the aim of this study is to analyze the free out-of-plane vibrations of curved beams which are symmetrically and nonsymmetrically tapered. Out-of-plane free vibration of curved uniform and tapered beams with additional mass is also investigated. Finite element method is used for all analyses. Curvature type is assumed to be circular. For the different boundary conditions, natural frequencies of both symmetrical and unsymmetrical tapered beams are given together with that of uniform tapered beam. Bending, torsional, and rotary inertia effects are considered with respect to no-shear effect. Variations of natural frequencies with additional mass and the mass location are examined. Results are given in tabular form. It is concluded that (i) for the uniform tapered beam there is a good agreement between the results of this study and that of literature and (ii) for the symmetrical curved tapered beam there is also a good agreement between the results of this study and that of a finite element model by using MSC.Marc. Results of out-of-plane free vibration of symmetrically tapered beams for specified boundary conditions are addressed.

scholarly journals Free Vibration Analysis of Rings via Wave Approach

2018 ◽  
Vol 2018 ◽  
pp. 1-14
Author(s):  
Wang Zhipeng ◽  
Liu Wei ◽  
Yuan Yunbo ◽  
Shuai Zhijun ◽  
Guo Yibin ◽  
...  
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Classical Method ◽  
Free Vibration Analysis ◽  
Material Parameters ◽  
Wave Approach ◽  
Out Of Plane ◽  
Vibration Transmissibility ◽  
Ring Structures

Free vibration of rings is presented via wave approach theoretically. Firstly, based on the solutions of out-of-plane vibration, propagation, reflection, and coordination matrices are derived for the case of a fixed boundary at inner surface and a free boundary at outer surface. Then, assembling these matrices, characteristic equation of natural frequency is obtained. Wave approach is employed to study the free vibration of these ring structures. Natural frequencies calculated by wave approach are compared with those obtained by classical method and Finite Element Method (FEM). Afterwards natural frequencies of four type boundaries are calculated. Transverse vibration transmissibility of rings propagating from outer to inner and from inner to outer is investigated. Finally, the effects of structural and material parameters on free vibration are discussed in detail.

In-plane and out-of-plane free vibration and stability of a curved rod in flow

2014 ◽  
Vol 49 ◽  
pp. 667-686 ◽  
Author(s):  
Qiao Ni ◽  
Mingwu Li ◽  
Min Tang ◽  
Yikuen Wang ◽  
Yangyang Luo ◽  
...  
Keyword(s):  
Free Vibration ◽  
Out Of Plane ◽  
Curved Rod

scholarly journals Accurate Results for Free Vibration of Doubly Curved　Shallow Shells of Rectangular Planform (Part.1)

2021 ◽  
Vol 4 (1) ◽  
pp. 29-36
Author(s):  
Daisuke Narita ◽  
Yoshihiro Narita
Keyword(s):  
Free Vibration ◽  
Shell Theory ◽  
Frequency Equation ◽  
Shell Shape ◽  
Comparison Study ◽  
Shallow Shells ◽  
Wide Range ◽  
Out Of Plane ◽  
Edge Conditions ◽  
Doubly Curved

A method is presented for determining the free vibration frequencies of doubly curved, isotropic shallow shells under general edge conditions and is used to obtain accurate natural frequencies for wide range of geometric parameters. Based on the shallow shell theory applicable to thin thickness shells, a method of Ritz is extended to derive a frequency equation wherein the displacement functions are modified to accommodate arbitrary sets of edge conditions for both in-plane and out-of-plane motions. In numerical computation, convergence is tested against series terms and comparison study is made with existing results by other authors. Twenty one sets of frequency parameters are tabulated for a wide range of shell shape and curvature ratio to serve as data for future comparison and practical design purpose.  

An Exact Analytical Approach for Free Vibration Analysis of Built-Up Space Frames

2015 ◽  
Vol 137 (3) ◽  
Author(s):  
C. Mei ◽  
H. Sha
Keyword(s):  
Free Vibration ◽  
Analytical Approach ◽  
Free Vibration Analysis ◽  
Structural Elements ◽  
Space Frames ◽  
Out Of Plane ◽  
Vibration Responses ◽  
Numerical Tools ◽  
Classical Vibration ◽  
Exact Analytical Method

Coupled in- and out-of-plane bending, axial, and torsional vibrations exist in a built-up space frame, which greatly challenges the conventional modal approach. A wave-based exact analytical method is applied to study vibrations in built-up multistory space frames. From the wave vibration standpoint, vibrations are described as waves propagating along uniform structural elements and being reflected and transmitted at structural discontinuities. Free vibration responses are studied based on classical vibration theories. Numerical examples are given with comparison to results available in the literature. Good agreements have been reached. This study not only provides an exact analytical approach to complex vibration problems in built-up multistory space frames that have mostly been studied numerically but also provides a benchmark to existing numerical tools.

Experimental Investigation on Free Vibration of Foam-Core Sandwich Plate with and without Circular Polymer Columns

2013 ◽  
Vol 845 ◽  
pp. 297-301 ◽  
Author(s):  
Behzad Abdi ◽  
Syed Azwan ◽  
Ayob Amran ◽  
Roslan Abdul Rahman ◽  
R.A. Abdullah
Keyword(s):  
Free Vibration ◽  
Sandwich Plate ◽  
Mode Shapes ◽  
Sandwich Plates ◽  
Vibration Modes ◽  
Foam Core ◽  
Frequency Range ◽  
Resonant Frequencies ◽  
Out Of Plane ◽  
Structure Configuration

Free vibration modes of foam-core sandwich plates with and without polymer columns were experimentally identified from frequency response tests. The responses were made at selected locations on the plate surface by attaching a single-axis accelerometer to measure out-of-plane response. Resonant frequencies, relative damping ratios and mode shapes were established for the lowest 3 out-of-plane modes found in the frequency range of 0-900 Hz. The results show that the vibration characteristics were affected by the sandwich structure configuration and material properties.

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