Results 71 to 80 of about 615,027 (289)

A novel strategy for force identification of nonlinear structures

Journal of Low Frequency Noise, Vibration and Active Control, 2022
Dynamic force is the key indicator for monitoring the condition of a mechanical product. These mechanical structures always encompass some nonlinear factors. Most previous studies focused on obtaining the dynamic force of linear structures. Consequently,
Jie Liu, Tianqi Ding, Shanhui Liu, Bingbing Hu   +3 more
doaj   +1 more source

Oscillation of Nonlinear Matrix Differential Equations of Second Order [PDF]

Proceedings of the American Mathematical Society, 1968
where U= (uij), F= (fij) and R are nXn matrices. By F= F(t, U, U') is meant fij=fj;(t, ul, , unn, u, * , u). The functions fij are assumed to be continuous for t on [a, so ), a > 0, and for all values of the remaining variables. The matrix F(t, U, U') is symmetric and positive definite for every t on [a, co) and every matrix U with det U O, while the ...
openaire   +1 more source

PERTURBATION ANALYSIS OF A NONLINEAR MATRIX EQUATION

Taiwanese Journal of Mathematics, 2006
Consider the nonlinear matrix equation $X + A^* X^{-2}A = I$, where $A$ is an $n \times n$ complex matrix, $I$ the identity matrix and $A^*$ the conjugate transpose of the matrix $A$. In this paper a perturbation bound for a class of special solutions of this matrix equation is derived, and an explicit expression of its condition number is obtained ...
Xu, Shufang, Cheng, Mingsong
openaire   +2 more sources

Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam

Advanced Engineering Materials, EarlyView.
Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
wiley   +1 more source

Long-time asymptotic behavior for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Advanced Nonlinear Studies
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
doaj   +1 more source

Explicit solutions of the cubic matrix nonlinear Schrödinger equation [PDF]

Inverse Problems, 2008
In this paper, we derive a class of explicit solutions, global in , of the focusing matrix nonlinear Schrodinger equation using straightforward linear algebra. We obtain both the usual and multiple pole multisoliton solutions as well as a new class of solutions exponentially decaying as x → ±∞.
DEMONTIS, FRANCESCO, VAN DER MEE, CORNELIS VICTOR MARIA   +1 more
openaire   +2 more sources

Solid‐State Diffusion and Intermetallic Phase Formation in Roll‐Bonded Mg–Zn Composites With Kirigami‐Patterned Inlay

Advanced Engineering Materials, EarlyView.
Mg–Zn composites with a thickness of 0.21 mm were fabricated using roll bonding of a kirigami‐patterned Mg alloy inlay within a Zn matrix. Thermal activation following this process led to the formation of tailored intermetallic structures, which provided the composite with enhanced flexural strength.
Yaroslav Frolov, Oleksandr Bobukh, Christian Klose, Florian Nürnberger, Hans Jürgen Maier   +4 more
wiley   +1 more source

General Recurrent Neural Network for Solving Generalized Linear Matrix Equation

Complexity, 2017
This brief proposes a general framework of the nonlinear recurrent neural network for solving online the generalized linear matrix equation (GLME) with global convergence property. If the linear activation function is utilized, the neural state matrix of
Zhan Li, Hong Cheng, Hongliang Guo
doaj   +1 more source

A numerical scheme for solutions of a class of nonlinear differential equations

Journal of Taibah University for Science, 2017
In this paper, a collocation method based on Bessel functions of the first kind is presented to compute the approximate solutions of a class of high-order nonlinear differential equations under the initial and boundary conditions. First, the matrix forms
Şuayip Yüzbaşı
doaj   +1 more source

One-Dimensional Integrable Spinor BECs Mapped to Matrix Nonlinear Schr\"odinger Equation and Solution of Bogoliubov Equation in These Systems

, 2010
In this short note, we construct mappings from one-dimensional integrable spinor BECs to matrix nonlinear Schr\"odinger equation, and solve the Bogoliubov equation of these systems.
Chen X.-J., Georgi H., Gerdjikov V. S., Iachello F., Ieda J., Ieda J., Kaup D. J., Kovrizhin D. L., Ohmi T., Tsuchida T., Uchiyama M., Zakharov V. E.   +11 more
core   +1 more source