Nonlinear torsional-flexural modal ;nteractions of a torsionally excited cantilever beam are studied in the case of one-to-one internal resonance. Discrete two DOF model is derived from the equations of motion for the continuous canthwer beam by using the Galerkin mode approx;mat;on method. The method of averaging is used to obtain the approx;mat;on to the response of the discrete model. Steady...

a relationship based on the modified couple stress theory is developed to investigate the flexural sensitivity of an atomic force microscope (afm) with assembled cantilever probe (acp). this acp comprises a horizontal cantilever, two vertical extensions and two tips located at the free ends of the extensions which form a caliper. an approximate solution to the flexural vibration problem is obta...

the basic strategy of reduce the ductility demand and related concentrated tensions at moment resistance connections is reduce the section of the beam at connected region to column. by this method plastic hinge done at the reduced cross section and this local reduction decreases the demand of the components of connection. on this basis, in present study a new beam-to-column moment connection wi...

A relationship based on the modified couple stress theory is developed to investigate the flexural sensitivity of an atomic force microscope (AFM) with assembled cantilever probe (ACP). This ACP comprises a horizontal cantilever, two vertical extensions and two tips located at the free ends of the extensions which form a caliper. An approximate solution to the flexural vibration problem is obta...

A relationship based on the modified couple stress theory is developed to investigate the flexural sensitivity of an atomic force microscope (AFM) with assembled cantilever probe (ACP). This ACP comprises a horizontal cantilever, two vertical extensions and two tips located at the free ends of the extensions which form a caliper. An approximate solution to the flexural vibration problem is obta...

Abbreviations a 1 , a 2 , a 3 , a 4 and A 1 , A 2 , A 3 , A 4 Constants in the shape function y(x) a C Contact radius α Wave number of the flexural waves A Cross-section area of the cantilever b Thickness of the cantilever c P Ratio φ Lat /φ d Y 0 , d X0 Normalized amplitude of the sensor tip in y-and x-direction, respectively δ n , δ L Normal, lateral contact deflection (in the coordinate syst...

A microcantilever based method for fluid viscosity and mass density measurements with high temporal resolution and microliter sample consumption is presented. Nanomechanical cantilever vibration is driven by photothermal excitation and detected by an optical beam deflection system using two laser beams of different wavelengths. The theoretical framework relating cantilever response to the visco...

In this paper, a plane quadrilateral element with rotational degrees of freedom is developed. Present formulation is based on a hybrid functional with independent boundary displacement and internal optimum strain field. All the optimality constraints, including being rotational invariant, omitting the parasitic shear error and satisfying Fliepa’s pure bending test, are considered. Moreover, the...

In this study, the seismic inter-story drift of structures is estimated by a combination of mode-acceleration equations with the modelling of high-rise buildings with flexural and shear cantilever beams. In the equation presented for calculating the inter-story drift, having less knowledge of the building is adequate and this issue is of significance in estimating the nonstructural component fo...