Papers by Keyword: Convolution

Abstract: The article describes a new method for texture analysis of precision machined surfaces, which is based on the use of computer optics and an autocorrelation method for processing the obtained images of the textures of the studied microreliefs. The method is based on a probabilistic comparative assessment of the unknown texture of the studied microrelief with known textures of the reference microreliefs, for which the parameters of the microreliefs are predetermined according to the state standards of the Russian Federation.

Abstract: The presented paper delas with constitutive equations of the linear theory of viscoelasticity. The integral representations for homogeneous isotropic medium located in isothermal conditions are introduced. Relations are derived for the relaxation and creep processes, as well as relations between these functions in the Laplace images. In the solution we assume quasi-static external force loading under which the analyzed viscoelastic body in each time t shows infinitesimal deformations. General isotropic tensor of fourth degree G_ijkl (t) we use to derive the relationship between deviator stress and deformation, as well as the relations between stresses and distortions that produce volumetric changes. It is shown that for the linear viscoelastic problem can be used Stieltjes convolution and its algebraic properties. Derived relations and procedures followed to the results of differential-operator's representation of constitutive equations of linear viscoelasticity theory that have been published in the previous work of Authors.

Abstract: A class of distributed algorithms for combinatorial optimization. In this paper we analyze some properties of shape annealing, the up to now best performing of the shape annealing algorithms we have tested. We report many results regarding its performance when varying the values of control parameters and we compare it with some FEM algorithms. And in accordance with treatment principles, the microstructure of the alloy is simulated. This algorithm uses orthogonal crossover to generate initial population and uses elitist-crossover to increase the good patterns of the population and uses hybrid mutation to increase the ability of local and global optimization. It has shown fascinating results when being used in the optimization of multimodal function. The results showed that: In the creep period, the corresponding cubic γ′ along the von Mises stress and strain energy density of the crystal face to form raft-like organizations.

Abstract: Dynamic analysis of elastic body for plate and shell is important and difficult to solute. The convolution-type weighted residuals method is a new method, which is applied to solve dynamic problems. And the method of convolution-type point collocation is applied to solve dynamic problems of thin shell. An effective approach to structural dynamic analysis of thin shell is provided.

Abstract: The method of convolution-type point collocation to calculate the beam with arbitrary boundary conditions was presented by using series function in time domain and the mode shape function of the beam in space domain. And this method is applied to solve dynamic problems of beam with arbitray boundary condition. The calculation example showed this method was very simple, highly accurate and effective.

Abstract: Convolution method is studied to analyze statistical tolerance for linear dimension chain and nonlinear dimension chain. Hybrid convolution method is proposed, which is the integration of analytical convolution and numerical convolution. In order to reduce the algorithm errors, improved convolution method is proposed. Comparing with other statistical tolerance analysis methods, this method is faster and accurate. At last, an example is used to demonstrate the method proposed in this paper.

Abstract: Magnetorheological Finishing, MRF can achieve deterministic results on different surface shapes such as flat surfaces, spherical surfaces and aspheric surfaces. MRF can also overcome many drawbacks of the conventional polishing process. The schedule uncertainties driven by edge roll and edge control are virtually eliminated with the MRF process. This paper presents a polishing wheel that combines rotation motion with revolution motion while renewing the MR fluid. Stable removal characteristic can be obtained by using the composite-rotation wheel. This paper also presents some recent results of the deterministic finishing typified by the tool and its MR fluid circulation system. An example of finishing a square optical workpiece with spherical surface will be reviewed.

Abstract: The paper focuses on development and application of a decision support system BPsim.DSS, which greatly simplifies analysts work and allows them make their job more efficiently and allows prediction of consequences of taken decisions. Paper gives an example of the system deployment in production environment, a construction company and presents achieved results.

Abstract: In this paper a new strategy for real-time three-dimensional object capturing and mapping is proposed by using optical correlators. A spatial light modulator is applied in the new strategy. Owing to the properties of quickly parallel processing of optical correlation algorithm the technique can also implement real time object capturing and track, and, as for human body recognition the gesture of body parts can also be portrayed.

Abstract: The convolution-type Gurtin variational principle is known as the only variational principle that is, from mathematics point of view, totally equivalent to the initial value problem system. In this paper, the governing equation of bars is first transformed to a new equation containing initial conditions by using convolution method. Then, a convolution-type semi-analytical DQ approach, which involves differential quadrature (DQ) approximation in space domain and an analytical series expansion in time domain, is proposed to obtain the transient response solution. The transient heat transfer examples show the proposed method is a very useful and efficient tool in transient heat transfer problems.