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Journal articles on the topic 'Von Karman'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Li, Ming, and Wei Zhao. "Golden Ratio Phenomenon of Random Data Obeying von Karman Spectrum." Mathematical Problems in Engineering 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/130258.

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von Karman originally deduced his spectrum of wind speed fluctuation based on the Stokes-Navier equation. Taking into account, the practical issues of measurement and/or computation errors, we suggest that the spectrum can be described from the point of view of the golden ratio. We call it the golden ratio phenomenon of the von Karman spectrum. To depict that phenomenon, we derive the von Karman spectrum based on fractional differential equations, which bridges the golden ratio to the von Karman spectrum and consequently provides a new outlook of random data following the von Karman spectrum i

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2

Yang, Ning, and Xu Qian. "Constructing Von Karman Random Media Model with Power Spectrum Method." Applied Mechanics and Materials 536-537 (April 2014): 911–14. http://dx.doi.org/10.4028/www.scientific.net/amm.536-537.911.

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In this paper, Von Karman random media is constructed with power spectrum method. The random media with Von Karman autocorrelation cannot be constructed in time domain but in frequency domain. So power spectrum method is utilized to solve the problem. The spectrum of random function is generated in frequency domain with random field and auto-correlation function. With inverse Fourier transformation, the Von Karman random media model is constructed. With different correlation lengths, six group of Von Karman random media are constructed.

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3

Zandbergen, P. J., and D. Dijkstra. "Von Karman Swirling Flows." Annual Review of Fluid Mechanics 19, no. 1 (1987): 465–91. http://dx.doi.org/10.1146/annurev.fl.19.010187.002341.

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4

TAEPRASARTSIT, SOMPON. "USING VON KARMAN NONLINEAR DISPLACEMENT FUNCTIONS IN THE FINITE ELEMENT ANALYSIS OF FUNCTIONALLY GRADED COLUMN." International Journal of Computational Methods 09, no. 03 (2012): 1250042. http://dx.doi.org/10.1142/s0219876212500429.

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This paper focuses on deriving the exact displacement fields of a functionally graded column (FGC) subjected to mechanical and thermal loads under the assumptions of the Timoshenko beam theory and von Karman strains. Valid only when an axial load is present, the obtained displacement fields are, therefore, not applicable in pure bending analysis. These displacement fields are used as the interpolation functions for formulating static finite element equations whose DOFs are arbitrary constants rather than nodal displacements. The element is super-convergent in von Karman nonlinear analysis, and

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5

Smalikho, Igor, and Viktor Banakh. "Investigation of feasibility of wind turbulence measurement by a pulsed coherent doppler lidar in the atmospheric boundary layer." EPJ Web of Conferences 176 (2018): 06016. http://dx.doi.org/10.1051/epjconf/201817606016.

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Feasibilities of determination of the wind turbulence parameters from data measured by the Stream Line coherent Doppler lidar under different atmospheric conditions have been studied experimentally. It has been found that the spatial structure of the turbulence is described well by the von Karman model in the layer of intensive mixing. From the lidar measurements at night under stable conditions the estimation of the outer scale of turbulence with the use of the von Karman model is not possible.

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6

Mohandes, Masood, and Ahmad Reza Ghasemi. "Modified couple stress theory and finite strain assumption for nonlinear free vibration and bending of micro/nanolaminated composite Euler–Bernoulli beam under thermal loading." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 21 (2016): 4044–56. http://dx.doi.org/10.1177/0954406216656884.

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In this paper, the effect of finite strain on the nonlinear free vibration and bending of the symmetrically micro/nanolaminated composite beam under thermal environment within the framework of the Euler–Bernoulli and modified couple stress theory is studied. The governing equation of motion and boundary conditions are obtained using Hamilton’s principle, and then they are solved by generalized differential quadrature method. The bending and free vibration of the beam are investigated for both carbon/epoxy and glass/epoxy materials based on the finite strain and von Karman assumptions subjected

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7

Bhimaraddi, Alavandi. "Nonlinear Dynamics of In-Plane Loaded Imperfect Rectangular Plates." Journal of Applied Mechanics 59, no. 4 (1992): 893–901. http://dx.doi.org/10.1115/1.2894058.

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This paper deals with the nonlinear vibrations of composite laminated plates using the generalized formulation of which the von Karman-type formulation is a special case. The two-dimensional plate theory used is that of a parabolic shear theory in which the transverse shear strain distribution is parabolic across the plate thickness. The resulting governing equations of this formulation are nonlinear is all the plate displacement parameters unlike the von Karman model in which they are nonlinear in the lateral displacement only. Because of this complex nature of the equations the usual approac

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8

Shin-Jye Liang, Shih-Huang Wu, and Wei-Ting Chao. "A Simulation Study on von Karman Vortex Shedding with Navier-Stokes and Shallow-Water Models." Emerging Science Innovation 1 (August 2, 2023): 01–09. http://dx.doi.org/10.46604/emsi.2023.11974.

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This study aims to investigate the advantages of employing numerical models based on Shallow-water equations for simulating von Karman vortex shedding. Furthermore, a comparative analysis with Navier-Stokes equations will be conducted to assess their effectiveness. In addition to Reynolds number (Re), Froude number (Fr), relevant to water depth, plays an important role in the Shallow-Water modeling of the von Karman vortex. In this study, simulations of 2D von Karman vortex shedding are performed using the Navier-Stokes model and Shallow-Water model, employing the least-squares finite-element

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9

DONGUY, Patrick, and Loic HARANG. "Tourbillon de von Karman - Avril 2006." La Météorologie 8, no. 55 (2006): 7. http://dx.doi.org/10.4267/2042/20110.

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10

Cherrier, Pascal, and Albert Milani. "Hyperbolic equations of Von Karman type." Discrete & Continuous Dynamical Systems - S 9, no. 1 (2016): 125–37. http://dx.doi.org/10.3934/dcdss.2016.9.125.

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11

Thomas, Shirley. "Theodore von Karman: The Consummate Educator." Leonardo 24, no. 4 (1991): 419. http://dx.doi.org/10.2307/1575519.

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12

Carhart, R. A., and A. B. Kostinski. "A generalized von Karman interpolation formula." Physics Letters A 133, no. 3 (1988): 149–53. http://dx.doi.org/10.1016/0375-9601(88)90776-1.

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13

Yang, Ning, and Xu Qian. "Study on the Scattering Effect of Micro-Scale Inhomogeneity to the Elastic Wave." Advanced Materials Research 807-809 (September 2013): 2228–31. http://dx.doi.org/10.4028/www.scientific.net/amr.807-809.2228.

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Some research on the wave propagation in random medium with Von Karman correlation has been developed in this paper. It focuses on the seismic record of circular disturbance in random medium with Von Karman autocorrelation function. Six different kinds of random medium become the background of the dielectric object. The study of the impact to the responds of the dielectric objects can be measured by applying the FDTD to random background medium model. The numerical results show that the random media make the most obvious effect when the scale of imhomogeneity is close to the wave length.

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14

Lim, Chjan C., and Lawrence Sirovich. "Wave propagation on the von Karman trail." Physics of Fluids 29, no. 12 (1986): 3910. http://dx.doi.org/10.1063/1.865779.

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15

Igor, Chueshov, and Lasiecka Irena. "Inertial Manifolds for von Karman Plate Equations." Applied Mathematics and Optimization 46, no. 2 (2002): 179–206. http://dx.doi.org/10.1007/s00245-002-0741-7.

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16

Loffredo, Maria I. "Extension of Von Karman ansatz to magnetohydrodynamics." Meccanica 21, no. 2 (1986): 81–86. http://dx.doi.org/10.1007/bf01560624.

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17

Chawla, S. S., P. K. Srivastava, and A. S. Gupta. "Spin-down of the von Karman flow." International Journal of Non-Linear Mechanics 41, no. 3 (2006): 426–31. http://dx.doi.org/10.1016/j.ijnonlinmec.2005.09.003.

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18

DiFiore, Lawrence B., and Victor L. Shapiro. "Removable singularities for the Von Karman equations." Journal of Mathematical Analysis and Applications 432, no. 1 (2015): 550–64. http://dx.doi.org/10.1016/j.jmaa.2015.05.014.

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19

El-Aqqad, B., J. Oudaani, and A. El Mouatasim. "Dynamic von Karman equations with viscous damping." Mathematical Modeling and Computing 10, no. 3 (2023): 816–24. http://dx.doi.org/10.23939/mmc2023.03.816.

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In this paper we are interested to the dynamic von Karman equations coupled with viscous damping and without rotational forces, (α=0) [Chueshov I., Lasiecka I. (2010)], this problem describes the buckling and flexible phenomenon of small nonlinear vibration of vertical displacement to the elastic plates. Our fundamental goal is to establish the existence and the uniqueness to the weak solution for the so-called global energy, under assumption F0∈H3+ϵ(ω). Finally for illustrate our theoretical results we use the finite difference method.

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20

Maleki-Bigdeli, Mohammad-Ali, Majid Baniassadi, Kui Wang, and Mostafa Baghani. "Developing a beam formulation for semi-crystalline two-way shape memory polymers." Journal of Intelligent Material Systems and Structures 31, no. 12 (2020): 1465–76. http://dx.doi.org/10.1177/1045389x20924837.

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In this research, the bending of a two-way shape memory polymer beam is examined implementing a one-dimensional phenomenological macroscopic constitutive model into Euler–Bernoulli and von-Karman beam theories. Since bending loading is a fundamental problem in engineering applications, a combination of bending problem and two-way shape memory effect capable of switching between two temporary shapes can be used in different applications, for example, thermally activated sensors and actuators. Shape memory polymers as a branch of soft materials can undergo large deformation. Hence, Euler–Bernoul

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21

Kuimov, I. M., I. O. Raikov, and D. A. Parshin. "Vibrational dynamics in 2D crystal lattices of borophene." Journal of Physics: Conference Series 2086, no. 1 (2021): 012021. http://dx.doi.org/10.1088/1742-6596/2086/1/012021.

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Abstract Vibration dynamics of crystalline borophene is considered in the framework of the Born–von Karman model. The vibrations perpendicular to the plane of 2D borophen lattice (flexural modes) are studied.

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22

Wu, Lei, and Lian Sheng Ma. "Thermal Vibration of Functionally Graded Circular Plates." Key Engineering Materials 353-358 (September 2007): 1777–80. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.1777.

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Based on the nonlinear theory of von Karman plate, axisymmetric nonlinear vibration of a functionally graded circular plate with clamped boundary condition is investigated under thermal loading. It is assumed that the mechanical and thermal properties of functionally graded materials vary continuously through the thickness of the plate and obey a simple power law related to the volume fraction of the constituents. Motion equations for the problem are derived. Existence of harmonic vibrations is assumed and then Ritz-Kantorovich method is used to convert the dynamic Von Karman equations to a se

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23

Oudaani, Jaouad. "Quasi static Von-Karman evolution and Numerical approach." International Journal of Mathematics Trends and Technology 43, no. 2 (2017): 68–74. http://dx.doi.org/10.14445/22315373/ijmtt-v43p511.

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24

Valiani, Alessandro. "The Von Karman Coefficient In Sediment Laden Flow." Journal of Hydraulic Research 29, no. 1 (1991): 129–36. http://dx.doi.org/10.1080/00221689109498997.

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25

Park, SunHye. "Attractors for a von Karman equation with memory." Science China Mathematics 58, no. 12 (2015): 2505–16. http://dx.doi.org/10.1007/s11425-014-4969-x.

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26

Chan, Hon Chuen, and Wai Cheong Chung. "Orthotropic von Karman plates using higher order elements." Engineering Structures 9, no. 4 (1987): 225–32. http://dx.doi.org/10.1016/0141-0296(87)90021-6.

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27

Luo, Albert C. J., and C. D. Mote,. "Nonlinear Vibration of Rotating Thin Disks." Journal of Vibration and Acoustics 122, no. 4 (2000): 376–83. http://dx.doi.org/10.1115/1.1310363.

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The response and natural frequencies for the linear and nonlinear vibrations of rotating disks are given analytically through the new plate theory proposed by Luo in 1999. The results for the nonlinear vibration can reduce to the ones for the linear vibration when the nonlinear effects vanish and for the von Karman model when the nonlinear effects are modified. They are applicable to disks experiencing large-amplitude displacement or initial flatness and waviness. The natural frequencies for symmetric and asymmetric responses of a 3.5-inch diameter computer memory disk as an example are predic

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28

El-Aqqad, Brahim. "The equations coupled by Von Karman system with thermoelasticity." Gulf Journal of Mathematics 17, no. 2 (2024): 190–207. http://dx.doi.org/10.56947/gjom.v17i2.2171.

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The aim of this paper is to study the model of the von Karman evolution coupled to the thermoelastic equation, with rotational inertia and clamped boundary conditions. We establish the existence and uniqueness of a weak solution related to the dynamic model. Towards the conclusion, we employ the finite difference method to approximate the solution to our problem.

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29

Liang, Shin-Jye, Dong-Jiing Doong, and Wei-Ting Chao. "Solution of Shallow-Water Equations by a Layer-Integrated Hydrostatic Least-Squares Finite-Element Method." Water 14, no. 4 (2022): 530. http://dx.doi.org/10.3390/w14040530.

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A multi-layer hydrostatic shallow-water model was developed in the present study. The layer-integrated hydrostatic nonlinear shallow-water was solved with θ time integration and the least-squares finite element method. Since the least-squares formulation was employed, the resulting system of equations was symmetric and positive–definite; therefore, it could be solved efficiently by the preconditioned conjugate gradient method. The model was first applied to simulate the von Karman vortex shedding. A well-organized von Karman vortex street was reproduced. The model was then applied to simulate

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30

Austin, R. G. "Robotic rotorcraft." Aeronautical Journal 107, no. 1068 (2003): 65–78. http://dx.doi.org/10.1017/s0001924000018352.

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A few of us, like Tennyson, have the gift of foreseeing the future. (see Fig. I). Another few, like Juan de la Cierva have the gift of delivering the future. They are the innovators.Those who know Tennyson's verse will recall that his vision was of transportation by air of people and freight and also sadly of weapons. These were the tasks for which aircraft have primarily been developed – that is until recently.Let us move back a few years from Cierva's day to view the work of another innovator – Von Karman. His machine was a harbinger of the future in that it was not designed for a transport

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31

Zanetti, Giacomo, Giovanna Cavazzini, and Alberto Santolin. "Effect of the von Karman Shedding Frequency on the Hydrodynamics of a Francis Turbine Operating at Nominal Load." International Journal of Turbomachinery, Propulsion and Power 8, no. 3 (2023): 27. http://dx.doi.org/10.3390/ijtpp8030027.

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This paper presents a numerical analysis of the influence of the von Karman vortex shedding at the blade trailing edge on the hydrodynamics of a recently installed small hydro Francis turbine manifesting very loud and high-frequency acoustic pulsations when operating close to the nominal load. A reduced single-passage numerical model is developed to reduce the computational effort of the simulation while ensuring high accuracy in the assessment of fluid flow. The accuracy of the proposed numerical approach is investigated by comparing the frequency spectrum of the experimentally acquired acous

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32

Rahmani, Leila. "Ventcel's boundary conditions for a dynamic nonlinear plate." Asymptotic Analysis 38, no. 3-4 (2004): 319–37. https://doi.org/10.3233/asy-2004-625.

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In this paper, we consider the full system of dynamic von Karman equations for an heterogeneous plate that comprises two parts: a thin rigid body inserted into an elastic plate. We show that Ventcel's boundary conditions may be obtained, as the thickness of the rigid body goes to zero.

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33

El-Aqqad, Brahim, Jaouad Oudaani, and Abdelkrim El Mouatasim. "Implicit function theorem to the dynamic von Karman model of shell." Gulf Journal of Mathematics 19, no. 2 (2025): 213–27. https://doi.org/10.56947/gjom.v19i2.2584.

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This paper deals with evolutionary von Karman equation with rotational forces not clamped boundary conditions and interior nonlinear damping for shallow shell. We study the existence and uniqueness of a weak solution under weaker conditions to the damping and lower regularity of the internal force. Finally, we employ the finite difference method to approximate the solution to the problem.

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34

Li, Jian, Xinjing Wang, Xiaoyi An, Baoshou Zhang, Da Lyu, and Peng Wang. "Performance improvement of flapping foils in von Karman wake." Ocean Engineering 243 (January 2022): 110207. http://dx.doi.org/10.1016/j.oceaneng.2021.110207.

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35

Milani, Albert J. "Igor Chueshov and Irena Lasiecka: “Von Karman Evolution Equations”." Jahresbericht der Deutschen Mathematiker-Vereinigung 113, no. 4 (2011): 221–24. http://dx.doi.org/10.1365/s13291-011-0030-y.

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36

Kim, Jong Uhn. "Invariant Measures for the Stochastic von Karman Plate Equation." SIAM Journal on Mathematical Analysis 36, no. 5 (2005): 1689–703. http://dx.doi.org/10.1137/s0036141003438854.

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37

Nayagam, V., and F. A. Williams. "Rotating Spiral Edge Flames in von Karman Swirling Flows." Physical Review Letters 84, no. 3 (2000): 479–82. http://dx.doi.org/10.1103/physrevlett.84.479.

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38

Bradley, M. E., and I. Lasiecka. "Uniform Boundary Stabilization of a Dynamical von Karman Plate." IFAC Proceedings Volumes 25, no. 21 (1992): 192–95. http://dx.doi.org/10.1016/s1474-6670(17)49749-7.

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39

Astaburuaga, M. A., C. Fernandez, and G. Perla Menzala. "Energy decay rates and the dynamical von Karman equations." Applied Mathematics Letters 7, no. 2 (1994): 7–10. http://dx.doi.org/10.1016/0893-9659(94)90021-3.

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40

Ames, K. A., and W. F. Ames. "Analysis of the von Karman equations by group methods." International Journal of Non-Linear Mechanics 20, no. 4 (1985): 201–9. http://dx.doi.org/10.1016/0020-7462(85)90030-7.

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41

Abdou, M. A. "New Analytic Solution of Von Karman Swirling Viscous Flow." Acta Applicandae Mathematicae 111, no. 1 (2009): 7–13. http://dx.doi.org/10.1007/s10440-009-9526-1.

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42

Cherrier, Pascal, and Albert Milani. "Parabolic equations of Von Karman type on Kähler manifolds." Bulletin des Sciences Mathématiques 131, no. 4 (2007): 375–96. http://dx.doi.org/10.1016/j.bulsci.2006.05.008.

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43

Cherrier, Pascal, and Albert Milani. "Hyperbolic equations of Von Karman type on Kähler manifolds." Bulletin des Sciences Mathématiques 136, no. 1 (2012): 19–36. http://dx.doi.org/10.1016/j.bulsci.2011.07.017.

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44

PARK, Sun-Hye. "Stability of a von Karman equation with infinite memory." Acta Mathematica Scientia 37, no. 4 (2017): 965–73. http://dx.doi.org/10.1016/s0252-9602(17)30051-6.

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45

White, L. W. "Estimation of elastic parameters in a von Karman model." Nonlinear Analysis: Theory, Methods & Applications 18, no. 9 (1992): 829–49. http://dx.doi.org/10.1016/0362-546x(92)90225-4.

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46

Miersemann, E., and H. D. Mittelmann. "Stability in Obstacle Problems for the von Karman Plate." SIAM Journal on Mathematical Analysis 23, no. 5 (1992): 1099–116. http://dx.doi.org/10.1137/0523061.

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47

Qingyu, Yu, and Song Weiping. "Solution of the von Karman equations of circular plates." Mechanics Research Communications 19, no. 3 (1992): 183–88. http://dx.doi.org/10.1016/0093-6413(92)90063-g.

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48

Oudaani, J. "Existence, uniqueness weak solution for a dynamic Full von Karman System of thermoelasticity." Moroccan Journal of Pure and Applied Analysis 8, no. 3 (2022): 375–400. http://dx.doi.org/10.2478/mjpaa-2022-0026.

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Abstract In this paper we study a model of full Von-Karman system coupled to the thermoelastic equations, with rotational forces, nor clamped boundary conditions. Our fundamental goal is to establish the existence as well as the uniqueness of a weak solution for the so-called global energy. As the end we displays a numerical simulation.

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49

John, Chukwuma Ezeh, Uchechukwu Anya Collins, Chibueze Anyadiegwu Pius, and Mathias Ibearugbulem Owus. "The Effect of Coordinate and Boundary Conditions on Displacement and Strain of Thin Rectangular Plate with Large Deflection." Effect of Coordinate and Boundary Conditions on Displacement and Strain of Thin Rectangular Plate with Large Deflection 8, no. 10 (2023): 9. https://doi.org/10.5281/zenodo.10061326.

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The objective of this research is to investigate the impact of coordinate and boundary conditions on the displacement and strain properties of a thin rectangular plate subjected to substantial deflection. The formulas for nonlinear displacement and nonlinear strain were found by utilising the Von-Karman strain-displacement equation. The Von-Karman equations were mathematically integrated with regard to the variables x and y, resulting in the determination of the nonlinear displacement in both the x and y directions. The nonlinear displacements were further differentiated with respect to both t

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50

Patrício da Silva, Pedro, and Werner Krauth. "Numerical Solutions of the Von Karman Equations for a Thin Plate." International Journal of Modern Physics C 08, no. 02 (1997): 427–34. http://dx.doi.org/10.1142/s0129183197000357.

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In this paper, we present an algorithm for the solution of the von Karman equations of elasticity theory and related problems. Our method of successive reconditioning is able to avoid convergence problems at any ratio of the nonlinear stretching and the pure bending energies. We illustrate the power of the method by numerical calculations of pinched or compressed plates subject to fixed boundaries.

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