Papers by Bomisso Jean Marc
Textile Research Journal, 1954
A new technique was adopted in the pattern of the clothing, knowing that 80% of the cylinder stri... more A new technique was adopted in the pattern of the clothing, knowing that 80% of the cylinder strip in normal clothing laid in the lanes between the rows of wire, and, incidentally, the long fiber in the strip was all in this position. The pattern was devoid of lanes so far as was practical, and extensive tests confirmed that not only could we avoid collection of fiber in the shallow base of the foundation, but that the generally accepted population of the teeth was now unnecessary, and the setting became more effective than the population. The optimum number of points for efficiency was very quickly found. A further point is that at present there is no lane presented to the licker-in; in other words, a tooth is presented to every point of contact with the licker-in. The angle of the tooth controlling the absorption of the fiber and the degree of resilience of the foundation, in order to avoid the splitting up of seed and leaf or rupturing the fiber, were also factors which had to be thoroughly investigated and correlated. Extensive tests had to be made with cottons as far
Journal of Mathematics Research, 2017
In this paper, we study a flexible Euler-Bernoulli beam clamped at one end and subjected to a for... more In this paper, we study a flexible Euler-Bernoulli beam clamped at one end and subjected to a force control in rotation and velocity rotation. We develop a finite element method, stable and convergent which preserves the property of time decay of energy in the continuous case. We prove firstly the existence and uniqueness of the weak solution. Then, we discretize the system in two steps: in the first step, a semi-discrete scheme is obtained for discretization in space and, in the second step, a fully-discrete scheme is obtained for discretization in time by the Crank-Nicolson scheme. At each step of the discretization, the a-priori error estimates are obtained.
Journal of Mathematics Research, 2017
This paper investigates the problem of exponential stability for a damped Euler-Bernoulli beam wi... more This paper investigates the problem of exponential stability for a damped Euler-Bernoulli beam with variable coefficients clamped at one end and subjected to a force control in rotation and velocity rotation. We adopt the Riesz basis approach for show that the closed-loop system is a Riesz spectral system. Therefore, the exponential stability and the spectrum-determined growth condition are obtained.
In this article, we examine the exponential stability for a flexible Euler-Bernoulli beam with va... more In this article, we examine the exponential stability for a flexible Euler-Bernoulli beam with variable coefficients clamped at one end and is free at the other. In order to stabilize the system, we apply a linear boundary control force in rotation and velocity rotation. By adopting the Riesz basis approach, it is shown that the closedloop system is a Riesz spectral system. Consequently, the spectrum-determined growth condition and the exponential stability are obtained. AMS subject classification: 35B35, 35P20, 93D15.
In this article, we examine the exponential stability for a flexible Euler-Bernoulli beam with va... more In this article, we examine the exponential stability for a flexible Euler-Bernoulli beam with variable coefficients clamped at one end and is free at the other. In order to stabilize the system, we apply a linear boundary control force in rotation and velocity rotation. By adopting the Riesz basis approach, it is shown that the closed-loop system is a Riesz spectral system. Consequently, the spectrum-determined growth condition and the exponential stability are obtained.
In this paper, we study a flexible Euler-Bernoulli beam clamped at one end and subjected to a for... more In this paper, we study a flexible Euler-Bernoulli beam clamped at one end and subjected to a force control in rotation and velocity rotation. We develop a finite element method, stable and convergent which preserves the property of time decay of energy in the continuous case. We prove firstly the existence and uniqueness of the weak solution. Then, we discretize the system in two steps: in the first step, a semi-discrete scheme is obtained for discretization in space and, in the second step, a fully-discrete scheme is obtained for discretization in time by the Crank-Nicolson scheme. At each step of the discretization, the a-priori error estimates are obtained.
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Papers by Bomisso Jean Marc