مقايسه روش المان محدود با تئوري هاي الاستيسيته گراديان كرنش، كلاسيك و تنش كوپل در تحليل و بررسي انحراف ميكرو تير اويلر - برنولي

Comparison of the Finite Element Method with couple stress, classical, and strain gradient elasticity theories in Analysis of Euler-Bernoulli Micro-cantilever Deflection

Euler-Bernoulli microcantilevers are an important components of microelectromechanical sensors that are regarded as high-sensitivity sensors. The sensing principle of such sensors is based on resonant frequency shift or the microcantilever deflection variation. Therefore, identification of static and dynamic behavior of such sensors seems necessary. In this study, the finite element method was used to predict the static behavior of Euler-Bernoulli microcantilevers. Four epoxy microcantilevers with different dimensions and specific loadings and boundary conditions were statically analyzed. The effect of size on the deflection of microcantilevers were examined and evaluated. It was observed that an increased thickness reduces the deflection, and in a given cantilever, the maximum deflection occurs at its end. Results were consistent with those obtained using the couple stress, classical, and strain gradient elasticity theories.

Euler-Bernoulli microcantilevers are an important components of microelectromechanical sensors that are regarded as high-sensitivity sensors. The sensing principle of such sensors is based on resonant frequency shift or the microcantilever deflection variation. Therefore, identification of static and dynamic behavior of such sensors seems necessary. In this study, the finite element method was used to predict the static behavior of Euler-Bernoulli microcantilevers. Four epoxy microcantilevers with different dimensions and specific loadings and boundary conditions were statically analyzed. The effect of size on the deflection of microcantilevers were examined and evaluated. It was observed that an increased thickness reduces the deflection, and in a given cantilever, the maximum deflection occurs at its end. Results were consistent with those obtained using the couple stress, classical, and strain gradient elasticity theories.