In this paper, a novel frequency dependent MR damper model based on trigonometric functions is proposed. The model presents the following advantages in comparison with other previously proposed models: (1) it is based...
详细信息
In this paper, a novel frequency dependent MR damper model based on trigonometric functions is proposed. The model presents the following advantages in comparison with other previously proposed models: (1) it is based on algebraic functions instead of differential equations, so that it does not present convergence problems when noisy inputs from experimental measurements are used;(2) the number of parameters is reasonable, so that it makes the model computationally efficient in the context of parameter identification and (3) the model has to take into account the variation of the parameters as a function, not only of the applied current but also of the frequency of excitation. Experimental results confirm that the proposed frequency dependent MR damper model improves the accuracy of the model in force simulation.
A special basis based on trigonometric functions is proposed for solution of integral equations with kernels of the form K(x - t) by the Galerkin method. This basis possesses high approximation quality and allows one ...
详细信息
A special basis based on trigonometric functions is proposed for solution of integral equations with kernels of the form K(x - t) by the Galerkin method. This basis possesses high approximation quality and allows one to reduce the double integral in the Galerkin algorithm to a very simple single integration.
Based on sine and cosine functions, the compactly supported orthogonal wavelet filter coefficients with arbitrary length are constructed for the first time. When N = 2(k-1) and N = 2k, the unified analytic constructio...
详细信息
Based on sine and cosine functions, the compactly supported orthogonal wavelet filter coefficients with arbitrary length are constructed for the first time. When N = 2(k-1) and N = 2k, the unified analytic constructions of orthogonal wavelet filters are put forward, respectively. The famous Daubechies filter and some other well-known wavelet filters are tested by the proposed novel method which is very useful for wavelet theory research and many application areas such as pattern recognition.
In this paper, by using the theories of mathematical analysis, the authors systematically studied the problem of integrating of trigonometric functions utilizing omnipotence expressions tan x/2 = t. A new integral alg...
详细信息
In this paper, by using the theories of mathematical analysis, the authors systematically studied the problem of integrating of trigonometric functions utilizing omnipotence expressions tan x/2 = t. A new integral algorithm for the integral of trigonometric functions was established. And a new Maple program trigint for the calculation mechanizing for the integral of trigonometric functions was established, trigint could evaluate not only the integral of trigonometric functions utilizing omnipotence expresssions correctly but also all the other kinds of functions. The results indicated that the algorithm established in this paper had advantages of simple idea, excellent property for operation and powerful competence. This would be useful for some calculating problems of engineering mathematics. (c) 2004 Elsevier Inc. All rights reserved.
We examineWilker andHuygens-type inequalities involving trigonometric functions making use of results derived in Part I. The Papenfuss-Bach inequality representing upper and lower bounds for the function x sec(2) x - ...
详细信息
We examineWilker andHuygens-type inequalities involving trigonometric functions making use of results derived in Part I. The Papenfuss-Bach inequality representing upper and lower bounds for the function x sec(2) x - tan x for 0 <= x < pi/2 is also investigated. An open problem posed by Sun and Zhu concerning this last inequality is established.
The computation of the sine and cosine functions is required in devices ranging from application-specific signal processors to general purpose floating-point units. Even in the latter case, the required functionality ...
详细信息
The computation of the sine and cosine functions is required in devices ranging from application-specific signal processors to general purpose floating-point units. Even in the latter case, the required functionality can be reduced to computing the sine and/or cosine of multiples of a constant angle. The latency of a sine/cosine generator can be reduced by using look-up tables. However, a direct implementation with look-up tables may be unfeasible if the input space is huge. In such a case, look-up tables with a number of entries lower than the size of the input space can be used indirectly. In previously published methods, the reduction in the number of table entries is obtained at the expense of increasing the table width and the computational cost. This paper introduces an alternative technique that makes it possible to reduce the size of the look-up tables as well as the required multiplications. The proposed technique can be used to implement sine/cosine generators of huge input space. It has been used to implement several twiddle factor generators in reconfigurable hardware and has enabled the number of look-up tables to be reduced by between 6 and 26% with respect to previous table-based techniques. Also, these implementations are about 50% faster than those based on Volder's algorithm.
Differentiation formulas and power expansions are derived for sinn z, cosn z, tann z and cotn z. Summation formulas containing Bernoulli and Euler polynomials and numbers are obtained.
Differentiation formulas and power expansions are derived for sinn z, cosn z, tann z and cotn z. Summation formulas containing Bernoulli and Euler polynomials and numbers are obtained.
A new algorithm is presented which significantly reduces the minimum amount of logic required to calculate sine, cosine, and square root. It is derived from an old method for computing certain inverse functions which ...
详细信息
A new algorithm is presented which significantly reduces the minimum amount of logic required to calculate sine, cosine, and square root. It is derived from an old method for computing certain inverse functions which was once considered for use in software, but then abandoned because of efficiency concerns. However, when reversed and combined with a restoring square root algorithm, a unique new design emerges which performs trigonometric calculations without the use of pre-stored constants or any internal operation more complex than binary subtraction. The design has been implemented with common TTL MSI logic and is found to be reasonably fast, very accurate, and to require considerably less hardware than a comparable CORDIC algorithm.
The Sumudu transform integral equation is solved by continuous integration by parts, to obtain its definition for trigonometric functions. The transform variable, u, is included as a factor in the argument of f (t), a...
详细信息
The Sumudu transform integral equation is solved by continuous integration by parts, to obtain its definition for trigonometric functions. The transform variable, u, is included as a factor in the argument of f (t), and summing the integrated coefficients evaluated at zero yields the image of trigonometric functions. The obtained result is inverted to show the expansion of trigonometric functions as an infinite series. Maple graphs, tables of extended Sumudu properties, and infinite series expansions of trigonometric functions Sumudi images are given. (C) 2016 Elsevier B.V. All rights reserved.
The present paper deals with the estimation of buckling loads of plates with cracking damages. The hierarchical trigonometric functions are used to define the displacement function of the cracked plate. Selective choo...
详细信息
The present paper deals with the estimation of buckling loads of plates with cracking damages. The hierarchical trigonometric functions are used to define the displacement function of the cracked plate. Selective choosing of the trigonometric functions satisfies the various boundary conditions of a plate bounded by. support members in a continuous plated structure. Moreover, the analysis of the cracked plate can be carried out with a minimum number of equations' accurately. In the present paper, the buckling loads of plates with various types of cracks, such as edge crack and central crack, are estimated under uniaxial compressive. load, biaxial, compressive load and in-plane shear load. The results are found to correlate well with those obtained using a finite element method. (C) 2004 Published by Elsevier Ltd.
暂无评论