Finite-element analysis of topographic waveguides for acoustic surface waves using approximate analytical solutions

1981 ◽  
Vol 17 (22) ◽  
pp. 856 ◽  
Author(s):  
M. Koshiba ◽  
M. Okada ◽  
M. Suzuki
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Surface Waves ◽  
Analytical Solutions ◽  
Element Analysis ◽  
Approximate Analytical Solutions ◽  
Acoustic Surface Waves

Finite element analysis of fluid behavior under micro surface waves

2005 ◽  
Author(s):  
Yanru Shi ◽  
Weimin Gao ◽  
Zhenxian Yu ◽  
Lingxue Kong ◽  
Hung-Yao Hsu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Surface Waves ◽  
Element Analysis ◽  
Fluid Behavior

scholarly journals Finite Element Analysis of Interface Dependence on Nanomechanical Sensing

Sensors ◽  
2020 ◽  
Vol 20 (5) ◽  
pp. 1518 ◽  
Author(s):  
Kosuke Minami ◽  
Genki Yoshikawa
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Analytical Solutions ◽  
Physical Parameters ◽  
Sensing Element ◽  
High Concentration ◽  
Coating Films ◽  
Element Analysis ◽  
Interfacial Structures ◽  
Receptor Layer

Nanomechanical sensors and their arrays have been attracting significant attention for detecting, discriminating and identifying target analytes. The sensing responses can be partially explained by the physical properties of the receptor layers coated on the sensing elements. Analytical solutions of nanomechanical sensing are available for a simple cantilever model including the physical parameters of both a cantilever and a receptor layer. These analytical solutions generally rely on the simple structures, such that the sensing element and the receptor layer are fully attached at their boundary. However, an actual interface in a real system is not always fully attached because of inhomogeneous coatings with low affinity to the sensor surface or partial detachments caused by the exposure to some analytes, especially with high concentration. Here, we study the effects of such macroscopic interfacial structures, including partial attachments/detachments, for static nanomechanical sensing, focusing on a Membrane-type Surface stress Sensor (MSS), through finite element analysis (FEA). We simulate various macroscopic interfacial structures by changing the sizes, numbers and positions of the attachments as well as the elastic properties of receptor layers (e.g., Young’s modulus and Poisson’s ratio) and evaluate the effects on the sensitivity. It is found that specific interfacial structures lead to efficient sensing responses, providing a guideline for designing the coating films as well as optimizing the interfacial structures for higher sensitivity including surface modification of the substrate.

Nonlinear Buckling and Postbuckling of Shallow Arches With Vertical Elastic Supports

2019 ◽  
Vol 86 (6) ◽  
Author(s):  
Yang Zhou ◽  
Zhuangpeng Yi ◽  
Ilinca Stanciulescu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Analytical Solutions ◽  
Critical Loads ◽  
Path Following ◽  
Secondary Branch ◽  
Element Analysis ◽  
Nonlinear Buckling ◽  
Elastic Supports ◽  
Shallow Arches

This paper presents an analytical method to investigate the effects of symmetric and asymmetric elastic supports on the nonlinear equilibria and buckling responses of shallow arches. It is found that arches with symmetric elastic supports can bifurcate into secondary paths with high-order symmetric modes. When a small asymmetry exists in the elastic supports, the equilibria of the arch may abruptly split and lead to the occurrence of remote unconnected equilibria. Such unconnected equilibria can be obtained experimentally or numerically using typical path following controls only with prior knowledge of location of these paths. A small asymmetry in the elastic supports may also make a secondary branch shrink into points connecting surrounding equilibria, resulting in the appearance of more limit points. The analytical solutions are also derived to directly calculate critical loads. We find that the magnitude of the stiffness of symmetric elastic supports has no influence on limits loads and bifurcation loads at branching into secondary paths with symmetric configurations, but greatly affect the bifurcation loads of secondary paths with asymmetric configurations. All critical loads are very sensitive to the degree of asymmetry in the elastic supports. The asymmetry in the supports reduces the top values of all pairs of critical loads compared to the case of symmetric elastic supports. The results obtained from the analytical derivations are confirmed using finite element analysis (FEA).

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