Reduced-order mass weighted proper orthogonal decomposition (RMPOD), smooth orthogonal decomposition (SOD), and state variable modal decomposition (SVMD) are used to extract modal parameters from a nonuniform experimental beam. The beam was sensed by accelerometers. Accelerometer signals were integrated and passed through a high-pass filter to obtain velocities and displacements, all of which w...

Adaptive control of a flexible continuous structure is investigated. The application is directed toward large sensor count and several actuator systems,(multiple input / multiple output (MIMO) control. Conventional large channel count control applications involve complicated techniques to determine the proper order of the model and the dominant modes to be controlled. Using spatial filtering to...

Finding the thermoelastic damping in a vibrating body, for the most general case, involves the simultaneous solving of the three equations for displacements and one equation for temperature (called the heat equation). Since these are a set of coupled nonlinear partial differential equations there is considerable difficulty in solving them, especially for finite geometries. This paper presents a...

This paper presents a new model updating approach for structural damage localization and quantification. Based on the Modal Assurance Criterion (MAC), a new damage-sensitive cost function is introduced by employing the main diagonal and anti-diagonal members of the calculated Generalized Flexibility Matrix (GFM) for the monitored structure and its analytical model. Then, ...

This article presents an analysis of free vibration of elastically supported Timoshenko beams by using the spectral element method. The governing partial differential equation is elaborated to formulate the spectral stiffness matrix. Effectively, the non classical end boundary conditions of the beam are the primordial task to calibrate the phenomenon of the Timoshenko beam-soil foundation inter...

Controlling the intensity behavior of a wavefront along its axis of propagation can assist, for example, with optical manipulation, trapping, and vortex generation. A particularly interesting beam with applications in three-dimensional imaging is the rotating beam [1, 2]. A certain class of diffracting elements placed in the aperture plane of a digital camera can yield a point-spread function t...

Presenting structural damage detection problem as an inverse model-updating approach is one of the well-known methods which can reach to informative features of damages. This paper proposes a model-based method for fault prognosis in engineering structures. A new damage-sensitive cost function is suggested by employing the main concepts of the Modal Assurance Criterion (MAC) on the first severa...

the pseudo-elastic behavior of shape memory alloy (sma) truss and cantilever beam are investigated. brinson’s one-dimensional material model, which uses the twinned and detwinned martensite fractions separately as internal variables, is applied in the algorithm to establish the sma stress-strain characteristics. this material model also incorporates different young’s modulus for austenitic and ...

Beam models are widely applied in civil engineering, transport, and industry because the beams basic structural elements. When dealing with high-order modes of beam context applying modal analysis method, numerical instability issue affects numeric simulation accuracy many boundary conditions. There two solutions literature to overcome this shortcoming, namely refinement asymptotic form for hig...