The present paper investigates the transverse vibration of a non-uniform axially functionally graded Timoshenko beam with cross-sectional and material properties varying in length direction. Chebyshev collocation method is used to spatially discretize governing partial differential equations motion into time-dependent ordinary terms differentiation matrices. An algebraic eigenvalue equation mat...

introduction: gutta-percha is the most commonly used material for root canal obturation; it has been recently manufactured with different tapers. the aim of this in vitro study was to compare microleakage of canals obturated with standard gutta-percha (0.02 taper) or the new 0.04 taper gutta-percha master cone using the cold lateral condensation technique. materials and methods: forty-four extr...