Jones matrix computation is one of the widely used methods in nonlinearitycalculation in laser interferometers. In this paper, the nonlinearity error in developedthree-longitudinal mode heterodyne interferometer (DTLMI) has been mathematicallymodeled at various speeds, by using Jones matrix calculations. This review has been donedespite the fact that simultaneously the main factors including no...

In this paper, a pendulum-type metamaterial (PTM) is designed with pendulum bob hinged at the primary mass. Considering effect of geometric nonlinearity, nonlinear dynamic equations PTM unit cell are presented aid Bloch theorem. The analytical formula dispersion equation deduced to discuss internal resonance bandgap using harmonic balance method. obtained in good agreement numerical simulation ...

This paper deals with the nonlinear free vibration of thick annular functionally graded material plates. The thickness is assumed to be constant. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on the first-order shear deformation plate theory and...

This paper presents a novel interface element for the geometric and material nonlinear analysis of unreinforced brick-masonry structures. In the proposed modelling approach, the blocks are modelled using 3D continuum solid elements, while the mortar and brick-mortar interfaces are modelled by means of the 2D nonlinear interface element. This enables the representation of any 3D arrangement for ...

13 For solute transport in a deformable clay liner, the importance of consolidation 14 in the presence of sorption and consolidation-induced advection are well known. 15 Here a one-dimensional coupled consolidation and solute transport model for a 16 partially saturated porous medium, including the new features of finite strain and 17 geometric and material nonlinearity, is proposed. A new boun...

In this paper, the development of a large-displacement large-strain 3-D finite element model of the vocal fold is reported. A fold is discretized into 720 8-node brick elements with a total of 1001 nodes and 3003 displacement degrees of freedom. The structure has realistic dimensions and geometry. The model includes geometric and material nonlinearities. The geometric nonlinearity appears in th...

The effect of geometric imperfections and viscous damping on the type of nonlinearity i.e., the hardening or softening behaviour of circular plates and shallow spherical shells with free edge is here investigated. The Von Kármán large-deflection theory is used to derive the continuous models. Then, nonlinear normal modes NNMs are used for predicting with accuracy the coefficient, the sign of wh...

This paper investigates the effects of nonlinear large deflection bending on the aerodynamic performance and aeroelasticity of a high aspect ratio flexible wing. A nonlinear large deflection theory is developed for aeroelasticity to account for large deflection bending. An analysis is conducted to compare the nonlinear bending theory with the linear bending theory. The results show that the non...

In this note, small amplitude free vibration of a double-beam system in presence of inner layer nonlinearity is investigated. The nonlinearity is due to inner layer material and is not related to large amplitude vibration. At first, frequencies of a double-beam system with linear inner layer are studied and categorized as synchronous and asynchronous frequencies. It is revealed that the inner l...

Integral nonlinearity (INL) should be main source of ADC's harmonic distortion. The basic question is importance of dynamic INL. There are still open questions how to describe dynamic INL and if the dynamic corrections of ADC have sense. Key-Words: ADC, testing, static, dynamic, INL, hysteresis