Finite Element Analysis of Vibrating Frequency for Skew Slab Bridge Based on Finite Strip Thought
Based on the finite strip thought and displacement interpolation function of Bernoulli-Euler beam element, using the transformation relationship between skew coordinate and Cartesian coordinate system, a new kind of thin parallel slab element was established, element stiffness matrix and consistent mass matrix were derived. The vibrating frequency of simply supported skewed slab was calculated. Computing results were compared with theoretical results and Ansys results. The maximum error was 2.68%. Changing the mesh density of skew slab, the convergence of present element was tested. Examples show that this element has the features of high precision and strong convergence. At last, the vibrating frequency coefficients of skew slab bridge with different ratios of span to width were provided, which can be adopted to compute the vehicle’s impact factor of skew slab bridge by specification method.
M. L. Yang et al., "Finite Element Analysis of Vibrating Frequency for Skew Slab Bridge Based on Finite Strip Thought", Advanced Materials Research, Vols. 163-167, pp. 1121-1127, 2011