Dual minimum principles for displacements and stresses are well established for linear variational problems and also for nonlinear (and monotone) constitutive laws. This paper studies the problem of geometric nonlinearity. By introducing a gap function, we recover complementary variational principles in the equilibrium problems of mathematical physics. When the gap function is nonnegative those...

Abstract The flexible beam theory is widely applied in engineering, due to that many engineering structures can be regarded as beam. For the under large rotation, researches have shown consideration of geometric nonlinearity necessary: deflection will erroneously larger or diverge without nonlinearity. reason lies on dynamic stiffening effect caused by rotation well studied already, however, mo...

Description of geometric nonlinearity for beam-column analysis in OpenSees" (2013). ii Northeastern University was founded in 1898, as a private research university. Northeastern University is a leader in worldwide experiential learning, urban engagement, and interdisciplinary research that meets global and societal needs. Department of Civil and Environmental Engineering has over 100 years of ...

This paper presents a new feature extraction algorithm called PNCC that is based on auditory. Major new features of PNCC processing include the use of a power-law nonlinearity that replaces the traditional log nonlinearity used in MFCC coefficients, and a novel algorithm to suppress background excitation using medium-duration power estimation based on the ratio of the arithmetic mean to the geo...

this paper describes a modified structural dynamics model for aeroelastic analysis of high-aspect-ratio wings undergoing large deformation behavior. to gain this aim, a moderate deflection beam model is modified with some important large deflection terms and then coupled with a state space unsteady aerodynamics model. finite element method is used to discretize the equations of motion. a dynami...

Current finite-element (FE) models of the eardrum are limited to low pressures because of the assumption of linearity. Our objective is to investigate the effects of geometric nonlinearity in FE models of the cat eardrum with an approximately immobile malleus for pressures up to +/-2.2 kPa, which are within the range of pressures used in clinical tympanometry. Displacements computed with nonlin...

In the present study, stability analysis of a multi-point slack moored buoy is performed under the action of wave and wind forces. The effect of non-linearities due to hydrodynamic damping, geometric nonlinearity due to mooring lines, nonlinearity due to restoring force and excitation force have been considered.. The dynamic analysis is done using time domain integration scheme. The wave force ...

  Introduction: Geometric distortion is a major shortcoming of magnetic resonance imaging (MRI), which has an important influence on the accuracy of volumetric measurements, an important parameter in neurology and oncology. Our goal is to design and construct a new three- dimensional phantom using a 3D printer in order to measure geometric distortion and its reproducibility in...

This paper investigates the inertial force effect on nonlinear aeroelasticity of flexible wing aircraft. The geometric are nonlinearity due to rotational and tension stiffening. The effect of large bending deflection will also be investigated. Aeroelastic analysis will be conducted for a truss-braced wing aircraft concept with nonlinear effect of large bending deflection and inertial force coup...

A detailed analysis of the current state problem is presented in article. mathematical model given to assess dynamic behavior high-rise structures, considering geometric nonlinearity (nonlinear dependence strains on displacements) under periodic kinematic effects and own weight structure. The unsteady forced oscillations flue gas stack Novo-Angrenskaya HPP were studied dimensions physical mecha...