Academic literature on the topic 'Nonstationary deforming'

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Journal articles on the topic "Nonstationary deforming"

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Korovaytseva, E. A. "INVESTIGATION OF HYPERELASTIC SOFT SHELLS NONSTATIONARY DYNAMICS PROBLEMS SOLUTION FEATURES." Problems of strenght and plasticity 83, no. 2 (2021): 151–59. http://dx.doi.org/10.32326/1814-9146-2021-83-2-151-159.

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Results of hyperelastic soft shells nonlinear axisymmetric dynamic deforming problems solution algorithm testing are represented in the work. Equations of motion are given in vector-matrix form. For the nonlinear initial-boundary value problem solution an algorithm which lies in reduction of the system of partial differential equations of motion to the system of ordinary differential equations with the help of lines method is developed. At this finite-difference approximation of partial time derivatives is used. The system of ordinary differential equations obtained as a result of this approximation is solved using parameter differentiation method at each time step. The algorithm testing results are represented for the case of pressure uniformly distributed along the meridian of the shell and linearly increasing in time. Three types of elastic potential characterizing shell material are considered: Neo-hookean, Mooney – Rivlin and Yeoh. Features of numerical realization of the algorithm used are pointed out. These features are connected both with the properties of soft shells deforming equations system and with the features of the algorithm itself. The results are compared with analytical solution of the problem considered. Solution behavior at critical pressure value is investigated. Formulations and conclusions given in analytical studies of the problem are clarified. Applicability of the used algorithm to solution of the problems of soft shells dynamic deforming in the range of displacements several times greater than initial dimensions of the shell and deformations much greater than unity is shown. The numerical solution of the initial boundary value problem of nonstationary dynamic deformation of the soft shell is obtained without assumptions about the limitation of displacements and deformations. The results of the calculations are in good agreement with the results of analytical studies of the test problem.
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Kubenko, V. D. "On the nonstationary deforming of an elastic layer under mixed boundary conditions." Reports of the National Academy of Sciences of Ukraine, no. 7 (July 20, 2015): 47–54. http://dx.doi.org/10.15407/dopovidi2015.07.047.

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Kim, Kwang-Y., and Qigang Wu. "A Comparison Study of EOF Techniques: Analysis of Nonstationary Data with Periodic Statistics." Journal of Climate 12, no. 1 (January 1, 1999): 185–99. http://dx.doi.org/10.1175/1520-0442-12.1.185.

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Abstract Identification of independent physical/dynamical modes and corresponding principal component time series is an important aspect of climate studies for they serve as a tool for detecting and predicting climate changes. While there are a number of different eigen techniques their performance for identifying independent modes varies. Considered here are comparison tests of eight eigen techniques in identifying independent patterns from a dataset. A particular emphasis is given to cyclostationary processes such as deforming and moving patterns with cyclic statistics. Such processes are fairly common in climatology and geophysics. Two eigen techniques that are based on the cyclostationarity assumption—cyclostationary empirical orthogonal functions (EOFs) and periodically extended EOFs—perform better in identifying moving and deforming patterns than techniques based on the stationarity assumption. Application to a tropical Pacific surface temperature field indicates that the first dominant pattern and the corresponding principal component (PC) time series are consistent among different techniques. The second mode and the PC time series, however, are not very consistent from one another with hints of significant modal mixing and splitting in some of derived patterns. There also is a detailed difference of intraannual scale between PC time series of a stationary technique and those of a cyclostationary one. This may bear an important implication on the predictability of El Niño. Clearly there is a choice of eigen technique for improved predictability.
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Voropay, Alexey Valerievich. "The inverse problem under nonstationary deforming of a rectangular plate with additional viscoelastic support." Bulletin of the National Technical University «KhPI» Series: Dynamics and Strength of Machines 1, no. 57 (January 1, 2015): 25–29. http://dx.doi.org/10.20998/2078-9130.2015.57.72572.

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Voropay, Alexey, and Pavel Yegorov. "THE INFLUENCE OF MASS AND INERTIAL CHARACTERISTICS OF AN ADDITIONAL VISCOELASTIC SUPPORT IN THE NONSTATIONARY DEFORMING OF A RECTANGULAR PLATE." Bulletin of the National Technical University "KhPI". Series: Mathematical modeling in engineering and technologies, no. 1 (March 5, 2021): 15–23. http://dx.doi.org/10.20998/2222-0631.2020.01.02.

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The nonstationary loading of a mechanical system consisting of a rectangular elastic isotropic plate and an additional viscoelastic support is investigated. The main attention is devoted to taking into account the mass and inertial characteristics of the additional viscoelastic support during modeling. As the main object, to which an additional support is attached, a plate of medium thickness within the framework of Timoshenko's hypotheses is considered. Since the focus of the paper is on the influence of the additional support, the plate itself is assumed to be hinged for simplicity of its model. We point out that the results presented are applicable to other objects that have additional supports (beams, plates and shells, which can have different supports along the contour and different shapes in plan). Nonstationary deformation is caused by the application of an external transverse disturbing load to the plate. The influence of the additional support on the deformation of the plate is replaced by the application of an unknown additional variable concentrated force, which, in fact, is the reaction of interaction between the plate and the additional support. The determination of this unknown reaction is reduced to solving the first kind Volterra integral equation. In this work, the main analytical relations for obtaining integral equations or their systems are derived, and an algorithm for their solving is presented. The results of calculations for specific numerical values are described. Moreover, the effect of an additional viscoelastic support on the plate is considered, both with and without taking into account the mass and inertial characteristics of the support. It is shown that for small masses the effect is practically absent, which can serve as an indirect proof of the correctness of the model obtained. As the main conclusion, it can be pointed out that the mass and inertial characteristics of the additional viscoelastic support have a noticeable effect on the vibration process, on both the amplitude and phase characteristics.
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Головин, Н. Н., Г. Н. Кувыркин, and Е. В. Майская. "Mathematical Simulation of Nonstationary Deforming of Interacting Heat-Loaded Structures." Engineering Journal: Science and Innovation, no. 4 (November 2012). http://dx.doi.org/10.18698/2308-6033-2012-4-158.

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Algburi, Riyadh Nazar Ali, Hongli Gao, and Zaid Al-Huda. "Implementation of Singular Spectrum Analysis in Industrial Robot to Detect Weak Position Fluctuations." Fluctuation and Noise Letters, December 24, 2020, 2150010. http://dx.doi.org/10.1142/s0219477521500103.

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A fault or mechanical flaw causes several feeble swings in the position signal. Identification of such swings by encoders can help to identify machine performance and health status and provide a convenient alternative to a vibration-based monitoring system. In operations, the trend is usually several orders higher than the interested magnitude swings, thus increasing the difficulty of identifying feeble swings without signal deformity. Moreover, the swings can be intricate, and the amplitude can be changed under a nonstationary operating condition. Singular spectrum analysis (SSA) for detecting feeble position swings from the rotary encoder signal is suggested in this paper to address this issue. It allows the complex signal of the encoder to be reduced to a variety of explainable noise-containing components, a collection of periodic oscillations, and a trend. The numerical simulation reveals the achievement of the technique. It demonstrates that the SSA is superior to the empirical mode decomposition in terms of accuracy and ability. In addition, rotary encoder signals from the robot arm are evaluated to identify the causes of oscillation at junctions during industrial robot movements. The proposed route for the robotic arm is proven to be feasible and reliable.
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Dissertations / Theses on the topic "Nonstationary deforming"

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Воропай, Алексей Валериевич, П. А. Егоров, and Евгений Сергеевич Малахов. "Нестационарное деформирование балок и пластин при наличии дополнительных опор и ребер жесткости." Thesis, Харьковский национальный университет им. В. Н. Каразина, 2017. http://repository.kpi.kharkov.ua/handle/KhPI-Press/41156.

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Non-stationary vibrations of complex mechanical systems that can be considered in the form of beams and plates with various mechanical features are investigated. Modeling of features (concentrated masses, additional supports and stiffeners) is made by replacing their influence with non-stationary concentrated forces (reactions), which are determined from the solution of Volterra integral equations using Tikhonov's regularizing algorithm.
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