The linear and non-linear dynamic behavior of rectangular, double tapered, dagger shaped and V shaped atomic force microscope cantilevers in contact mode have been investigated. In this work all necessary details such as cantilever thickness and normal and lateral contact stiffness have been considered. The differential equations of motion has been solve by the exact solution for the rectangular cantilever, but for the double tapered, dagger shaped and V shaped AFM cantilevers the complexity of the governing equations and boundary conditions precludes modeling using closed-form expressions,...