scholarly journals Novel deformation function creating or destroying any number of even kink solutions

2021 ◽  
pp. 127830
Author(s):  
Avinash Khare ◽  
Avadh Saxena
Keyword(s):  
Deformation Function

Closed-form solution for shear lag with derived flange deformation function

2014 ◽  
Vol 102 ◽  
pp. 104-110 ◽  
Author(s):  
Jun Chen ◽  
Shui-Long Shen ◽  
Zhen-Yu Yin ◽  
Suksun Horpibulsuk
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
Shear Lag ◽  
Deformation Function

Free Vibration of Elastic Timoshenko Beam on Fractional Derivative Winkler Viscoelastic Foundation

2011 ◽  
Vol 368-373 ◽  
pp. 1034-1037 ◽  
Author(s):  
Qi Fang Yan ◽  
Zi Ping Su
Keyword(s):  
Free Vibration ◽  
Fractional Derivative ◽  
Shear Deformation ◽  
Timoshenko Beam ◽  
Shape Factor ◽  
Viscoelastic Foundation ◽  
Deformation Function ◽  
Numerical Example ◽  
Foundation Model ◽  
Derivative Order

The fractional derivative Winkler viscoelastic foundation model is established by introducing the concept of fractional derivative. The control equations of free vibration of elastic Timoshenko beam on fractional derivative Winkler viscoelastic foundation are also built by considering the shear deformation and rotary inertia, and the control equations of elastic Timoshenko beam are decoupled by using the deformation function and considering the properties of fractional derivative, and the expressions of deflection and section corner of elastic Timoshenko beam on fractional derivative Winkler viscoelastic foundation are obtained. The influences of fractional derivative order and shear shape factor on the free vibration of elastic Timoshenko beam are discussed by numerical example.

COVARIANT DEFORMATION OF THE POINCARÉ–HEISENBERG ALGEBRA

1998 ◽  
Vol 13 (20) ◽  
pp. 1587-1595
Author(s):  
CLEMENS HEUSON
Keyword(s):  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Heisenberg Algebra ◽  
Lorentz Transformations ◽  
Deformation Function

Starting from deformed coordinates a covariant deformation of the Poincaré and Heisenberg algebra is derived. The deformation function is determined uniquely by the Jacobi identities leading to noncommutative coordinates, a generalized uncertainty principle and deformed Lorentz transformations.

scholarly journals Kinetic energy properties and weak equivalence principle in a space with generalized uncertainty principle

2020 ◽  
Vol 35 (13) ◽  
pp. 2050096
Author(s):  
Kh. P. Gnatenko ◽  
V. M. Tkachuk
Keyword(s):  
Kinetic Energy ◽  
Energy Dependence ◽  
Uncertainty Principle ◽  
Equivalence Principle ◽  
Generalized Uncertainty Principle ◽  
Weak Equivalence ◽  
Weak Equivalence Principle ◽  
Deformation Function ◽  
Commutation Relations ◽  
Deformed Commutation Relations

A space with deformed commutation relations for coordinates and momenta leading to generalized uncertainty principle (GUP) is studied. We show that GUP causes great violation of the weak equivalence principle for macroscopic bodies, violation of additivity property of the kinetic energy, dependence of the kinetic energy on composition, great corrections to the kinetic energy of macroscopic bodies. We find that all these problems can be solved in the case of arbitrary deformation function depending on momentum if parameter of deformation is proportional inversely to squared mass.

scholarly journals A completely deformed anisotropic class one solution for charged compact star: a gravitational decoupling approach

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
S. K. Maurya
Keyword(s):  
Compact Star ◽  
Compact Object ◽  
Coupled System ◽  
Conservation Equation ◽  
Maxwell System ◽  
Matter Distribution ◽  
Deformation Function ◽  
Anisotropic Matter ◽  
Embedding Class One ◽  
Decoupling Approach

AbstractIn this article, we have investigated a new completely deformed embedding class one solution for the compact star in the framework of charged anisotropic matter distribution. For determining of this new solution, we deformed both gravitational potentials as $$\nu ~\mapsto ~\xi +\alpha \, h(r)$$ν↦ξ+αh(r) and $$e^{-\lambda } \mapsto ~e^{-{\mu }} + \alpha \,f(r)$$e-λ↦e-μ+αf(r) by using Ovalle (Phys Lett B 788:213, 2019) approach. The gravitational deformation divides the original coupled system into two individual systems which are called the Einstein’s system and Maxwell-system (known as quasi-Einstein system), respectively. The Einstein’s system is solved by using embedding class one condition in the context of anisotropic matter distribution while the solution of Maxwell-system is determined by solving of corresponding conservation equation via assuming a well-defined ansatz for deformation function h(r). In this way, we obtain the expression for the electric field and another deformation function f(r). Moreover, we also discussed the physical validity of the solution for the coupled system by performing several physical tests. This investigation shows that the gravitational decoupling approach is a powerful methodology to generate a well-behaved solution for the compact object.

Invariant Stress and Deformation Functions for Doubly Curved Shells

1967 ◽  
Vol 34 (1) ◽  
pp. 43-48 ◽  
Author(s):  
A. Libai
Keyword(s):  
Stress Function ◽  
Single Equation ◽  
Surface Strain ◽  
Equilibrium Equations ◽  
Compatibility Equation ◽  
Deformation Function ◽  
Doubly Curved Shells ◽  
Stress And Deformation ◽  
Doubly Curved ◽  
Exact Invariant

Exact invariant stress and deformation functions for doubly curved (nondevelopable) shells are derived. The invariant stress function reduces the six shell equilibrium equations into a single equation in the stress function and moment resultants. The deformation function reduces the three surface strain-displacement relations into a single compatibility equation in the strains and deformation function, in terms of which the changes of curvature are also expressed. Application of these functions in the formulation of an approximate bending theory for shells is presented.

scholarly journals Non-linear optimization of the material constants in Ogden's stress-deformation function for incompressinle isotropic elastic materials

1983 ◽  
Vol 24 (4) ◽  
pp. 424-434 ◽  
Author(s):  
E. H. Twizell ◽  
R. W. Ogden
Keyword(s):  
Large Range ◽  
Linear Optimization ◽  
Optimization Procedure ◽  
Elastic Materials ◽  
Material Constants ◽  
Deformation Function ◽  
Non Linear ◽  
Stress Deformation ◽  
Elementary Methods ◽  
Least Squares Optimization

AbstractIn previous papers, three terms have been included in Ogden's stress-deformation function for incompressible isotropic elastic materials. The material constants have been calculated by elementary methods and the resulting fits to sets of experimental data have been moderately good.The purpose of the present paper is to improve upon established correlation between theory and experiment by means of a systematic optimization procedure for calculating material constants. For purposes of illustration the Levenberg-Marquardt non-linear least squares optimization algorithm is adapted to determine the material constants in Ogden's stress-deformation function.The use of this algorithm for three-term stress-deformation functions improves somewhat on previous results. Calculations are also carried out in respect of a four-term stress-deformation function and further improvement in the fit is achieved over a large range of deformation.

APPROACH OF THE AZIMUTHAL AND MAGNETIC QUANTUM NUMBERS l AND m TO REPRESENTATION OF A CUBIC DEFORMATION OF su(2) ALGEBRA

2009 ◽  
Vol 24 (25n26) ◽  
pp. 4727-4736
Author(s):  
H. FAKHRI ◽  
R. HASHEMZADEH
Keyword(s):  
Positive Integer ◽  
Irreducible Representation ◽  
Spherical Harmonics ◽  
Deformation Parameter ◽  
Deformation Function ◽  
Quantum Numbers ◽  
Representation Spaces

It is shown that the space of spherical harmonics [Formula: see text] whose 2l - m = p - 1 is given, represent irreducibly a cubic deformation of su(2) algebra, the so-called su Φp(2), with deformation function as [Formula: see text]. The irreducible representation spaces are classified in three different bunches, depending on one of values 3k - 2, 3k - 1 and 3k, with k as a positive integer, to be chosen for p. So, three different methods for generating the spectrum of spherical harmonics are presented by using the cubic deformation of su(2). Moreover, it is shown that p plays the role of deformation parameter.

COHERENT STATES FOR NONLINEAR TWO-BOSON REALIZATION OF THE ISOTROPIC OSCILLATOR ALGEBRA ON A SPHERE

2013 ◽  
Vol 10 (07) ◽  
pp. 1350028 ◽  
Author(s):  
A. MAHDIFAR
Keyword(s):  
Quantum Entanglement ◽  
Coherent States ◽  
Physical Space ◽  
Statistical Properties ◽  
Oscillator Algebra ◽  
Deformation Function ◽  
Boson Realization ◽  
Nonclassical Properties ◽  
Quantum Statistical

In this paper, we generalize Schwinger realization of the 𝔰𝔲(2) algebra to construct a two-mode realization for deformed 𝔰𝔲(2) algebra on a sphere. We obtain a nonlinear (f-deformed) Schwinger realization with a deformation function corresponding to the curvature of sphere that in the flat limit tends to unity. With the use of this nonlinear two-mode algebra, we construct the associated two-mode coherent states (CSs) on the sphere and investigate their quantum entanglement. We also compare the quantum statistical properties of the two modes of the constructed CSs, including anticorrelation and antibunching effects. Particularly, the influence of the curvature of the physical space on the nonclassical properties of two modes is clarified.

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