Study on the hyperbolic sine function creep model

2016 ◽  
pp. 279-282
Keyword(s):  
Creep Model ◽  
Sine Function ◽  
Hyperbolic Sine ◽  
Hyperbolic Sine Function

scholarly journals Convexity of the generalized sine function and the generalized hyperbolic sine function

2013 ◽  
Vol 174 ◽  
pp. 1-9 ◽  
Author(s):  
Wei-Dong Jiang ◽  
Miao-Kun Wang ◽  
Yu-Ming Chu ◽  
Yue-Ping Jiang ◽  
Feng Qi
Keyword(s):  
Sine Function ◽  
Hyperbolic Sine ◽  
Hyperbolic Sine Function

Impression Creep of a Sn-Pb Eutectic Alloy

1994 ◽  
Vol 362 ◽  
Author(s):  
Fuqian Yang ◽  
J. C. M. Li
Keyword(s):  
Creep Rate ◽  
Eutectic Alloy ◽  
Constitutive Law ◽  
Sine Function ◽  
Impression Creep ◽  
Creep Tests ◽  
Hyperbolic Sine ◽  
Element Simulation ◽  
Shearing Mechanism ◽  
Hyperbolic Sine Function

AbstractImpression creep tests on a Sn-Pb eutectic alloy showed a hyperbolic sine stress dependence of impressing velocity and an activation energy of 55 kJ/mole which is independent of the punching stress. A finite element simulation showed that this phenomena could be explained by a constitutive law in which the creep rate is also a hyperbolic sine function of stress. This simulation also gives an impressing velocity which is proportional to the punch size for the same punching stress. Then by using lubrication theory, it is possible to relate this constitutive law to an interphase shearing mechanism in which the rate of interphase shear is a hyperbolic sine function of the shear stress. This theory gives a creep rate which depends inversely on the third power of grain size at low stresses.

scholarly journals Exponential Hyperbolic Sine Function Fitting of Heart Rate Response to Constant Load Exercise.

2000 ◽  
Vol 50 (4) ◽  
pp. 405-412 ◽  
Author(s):  
Jun Mizuo ◽  
Takaaki Nakatsu ◽  
Takashi Murakami ◽  
Shozo Kusachi ◽  
Youkou Tominaga ◽  
...  
Keyword(s):  
Heart Rate ◽  
Heart Rate Response ◽  
Constant Load ◽  
Sine Function ◽  
Function Fitting ◽  
Hyperbolic Sine ◽  
Hyperbolic Sine Function ◽  
Constant Load Exercise

A simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme

2017 ◽  
Vol 89 (2) ◽  
pp. 1047-1061 ◽  
Author(s):  
Christos Volos ◽  
Akif Akgul ◽  
Viet-Thanh Pham ◽  
Ioannis Stouboulos ◽  
Ioannis Kyprianidis
Keyword(s):  
Encryption Scheme ◽  
Sine Function ◽  
Chaotic Circuit ◽  
Hyperbolic Sine ◽  
Hyperbolic Sine Function

scholarly journals Robust adaptive filtering algorithms based on (inverse)hyperbolic sine function

PLoS ONE ◽  
2021 ◽  
Vol 16 (10) ◽  
pp. e0258155
Author(s):  
Sihai Guan ◽  
Qing Cheng ◽  
Yong Zhao ◽  
Bharat Biswal
Keyword(s):  
Adaptive Filtering ◽  
Sine Function ◽  
Hyperbolic Functions ◽  
Filtering Algorithms ◽  
Filtering Algorithm ◽  
Impulsive Interference ◽  
Hyperbolic Sine ◽  
Robust Adaptive ◽  
Inverse Hyperbolic Sine ◽  
Hyperbolic Sine Function

Recently, adaptive filtering algorithms were designed using hyperbolic functions, such as hyperbolic cosine and tangent function. However, most of those algorithms have few parameters that need to be set, and the adaptive estimation accuracy and convergence performance can be improved further. More importantly, the hyperbolic sine function has not been discussed. In this paper, a family of adaptive filtering algorithms is proposed using hyperbolic sine function (HSF) and inverse hyperbolic sine function (IHSF) function. Specifically, development of a robust adaptive filtering algorithm based on HSF, and extend the HSF algorithm to another novel adaptive filtering algorithm based on IHSF; then continue to analyze the computational complexity for HSF and IHSF; finally, validation of the analyses and superiority of the proposed algorithm via simulations. The HSF and IHSF algorithms can attain superior steady-state performance and stronger robustness in impulsive interference than several existing algorithms for different system identification scenarios, under Gaussian noise and impulsive interference, demonstrate the superior performance achieved by HSF and IHSF over existing adaptive filtering algorithms with different hyperbolic functions.

scholarly journals A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function

2018 ◽  
Vol 2018 ◽  
pp. 1-17 ◽  
Author(s):  
N. Tsafack ◽  
J. Kengne
Keyword(s):  
Complex Dynamics ◽  
Dynamical Behavior ◽  
Sine Function ◽  
Coexisting Attractors ◽  
Initial State ◽  
Nonlinear Part ◽  
Hyperbolic Sine ◽  
Rc Circuit ◽  
Hyperjerk System ◽  
Hyperbolic Sine Function

A novel autonomous 5-D hyperjerk RC circuit with hyperbolic sine function is proposed in this paper. Compared to some existing 5-D systems like the 5-D Sprott B system, the 5-D Lorentz, and the Lorentz-like systems, the new system is the simplest 5-D system with complex dynamics reported to date. Its simplicity mainly relies on its nonlinear part which is synthetized using only two semiconductor diodes. The system displays only one equilibrium point and can exhibit both periodic and chaotic dynamical behavior. The complex dynamics of the system is investigated by means of bifurcation analysis. In particular, the striking phenomenon of multistability is revealed showing up to seven coexisting attractors in phase space depending solely on the system’s initial state. To the best of author’s knowledge, this rich dynamics has not yet been revealed in any 5-D dynamical system in general or particularly in any hyperjerk system. Pspice circuit simulations are performed to verify theoretical/numerical analysis.

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