Relevant bibliographies by topics / Harmonic potential theorem

Academic literature on the topic 'Harmonic potential theorem'

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Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Harmonic potential theorem"

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Chen, Qun. "Liouville theorem for harmonic maps with potential." Manuscripta Mathematica 95, no. 1 (December 1998): 507–17. http://dx.doi.org/10.1007/bf02678046.

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Chen, Qun. "Liouville theorem for harmonic maps with potential." manuscripta mathematica 95, no. 4 (April 1, 1998): 507–17. http://dx.doi.org/10.1007/s002290050044.

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Chen, Jin-Wang, Tao Yang, and Xiao-Yin Pan. "A New Proof for the Harmonic-Potential Theorem." Chinese Physics Letters 30, no. 2 (February 2013): 020303. http://dx.doi.org/10.1088/0256-307x/30/2/020303.

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Dobson, John F. "Harmonic-Potential Theorem: Implications for Approximate Many-Body Theories." Physical Review Letters 73, no. 16 (October 17, 1994): 2244–47. http://dx.doi.org/10.1103/physrevlett.73.2244.

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GURAPPA, N., PRASANTA K. PANIGRAHI, T. SOLOMAN RAJU, and V. SRINIVASAN. "QUANTUM EQUIVALENT OF THE BERTRAND'S THEOREM." Modern Physics Letters A 15, no. 30 (September 28, 2000): 1851–57. http://dx.doi.org/10.1142/s0217732300002255.

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A procedure for constructing general bound state potentials is given. Analogous to the Bertrand's theorem in classical mechanics, we then identify radial eigenvalue problems possessing exact solvability and infinite number of eigenstates. Akin to the classical result, the only special cases of the general central potential, satisfying the above two conditions, are the Coulomb and harmonic oscillator potentials.
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De La Calle Ysern, Bernardo, and José C. Sabina De Lis. "A Constructive Proof of Helmholtz’s Theorem." Quarterly Journal of Mechanics and Applied Mathematics 72, no. 4 (September 4, 2019): 521–33. http://dx.doi.org/10.1093/qjmam/hbz016.

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Summary It is a known result that any vector field ${\boldsymbol{u}}$ that is locally Hölder continuous on an arbitrary open set $\Omega\subset \mathbb{R}^3$ can be written on $\Omega$ as the sum of a gradient and a curl. Should $\Omega$ be unbounded, no conditions are required on the behaviour of ${\boldsymbol{u}}$ at infinity. We present a direct, self-contained proof of this theorem that only uses elementary techniques and has a constructive character. It consists in patching together local solutions given by the Newtonian potential that are then modified by harmonic approximations—based on solid spherical harmonics—to assure convergence near infinity for the resulting series.
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Zhang, Cheng, Jin Yang, Liu Xi Yang, Jun Chen Ke, Ming Zheng Chen, Wen Kang Cao, Mao Chen, et al. "Convolution operations on time-domain digital coding metasurface for beam manipulations of harmonics." Nanophotonics 9, no. 9 (February 18, 2020): 2771–81. http://dx.doi.org/10.1515/nanoph-2019-0538.

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AbstractTime-domain digital coding metasurfaces have been proposed recently to achieve efficient frequency conversion and harmonic control simultaneously; they show considerable potential for a broad range of electromagnetic applications such as wireless communications. However, achieving flexible and continuous harmonic wavefront control remains an urgent problem. To address this problem, we present Fourier operations on a time-domain digital coding metasurface and propose a principle of nonlinear scattering-pattern shift using a convolution theorem that facilitates the steering of scattering patterns of harmonics to arbitrarily predesigned directions. Introducing a time-delay gradient into a time-domain digital coding metasurface allows us to successfully deviate anomalous single-beam scattering in any direction, and thus, the corresponding formula for the calculation of the scattering angle can be derived. We expect this work to pave the way for controlling energy radiations of harmonics by combining a nonlinear convolution theorem with a time-domain digital coding metasurface, thereby achieving more efficient control of electromagnetic waves.
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Hsueh, Che-Hsiu, Chi-Ho Cheng, Tzyy-Leng Horng, and Wen-Chin Wu. "H-Theorem in an Isolated Quantum Harmonic Oscillator." Entropy 24, no. 8 (August 20, 2022): 1163. http://dx.doi.org/10.3390/e24081163.

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We consider the H-theorem in an isolated quantum harmonic oscillator through the time-dependent Schrödinger equation. The effect of potential in producing entropy is investigated in detail, and we found that including a barrier potential into a harmonic trap would lead to the thermalization of the system, while a harmonic trap alone would not thermalize the system. During thermalization, Shannon entropy increases, which shows that a microscopic quantum system still obeys the macroscopic thermodynamics law. Meanwhile, initial coherent mechanical energy transforms to incoherent thermal energy during thermalization, which exhibiting the decoherence of an oscillating wave packet featured by a large decreasing of autocorrelation length. When reaching thermal equilibrium, the wave packet comes to a halt, with the density distributions both in position and momentum spaces well-fitted by a microcanonical ensemble of statistical mechanics.
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Graversen, S. E. "A Riesz decomposition theorem." Nagoya Mathematical Journal 114 (June 1989): 123–33. http://dx.doi.org/10.1017/s0027763000001422.

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The topic of this note is the Riesz decomposition of excessive functions for a “nice” strong Markov process X. I.e. an excessive function is decomposed into a sum of a potential of a measure and a “harmonic” function. Originally such decompositions were studied by G.A. Hunt [8]. In [1] a Riesz decomposition is given assuming that the state space E is locally compact with a countable base and X is a transient standard process in strong duality with another standard process having a strong Feller resolvent. Recently R.K. Getoor and J. Glover extended the theory to the case of transient Borei right processes in weak duality [6].
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Lai, Meng-Yun, Duan-Liang Xiao, and Xiao-Yin Pan. "The Harmonic Potential Theorem for a Quantum System with Time-Dependent Effective Mass." Chinese Physics Letters 32, no. 11 (November 2015): 110301. http://dx.doi.org/10.1088/0256-307x/32/11/110301.

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Dissertations / Theses on the topic "Harmonic potential theorem"

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Killian, Kenneth. "Maxwell’s Problem on Point Charges in the Plane." Scholar Commons, 2008. https://scholarcommons.usf.edu/etd/333.

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This paper deals with approximating an upper bound for the number of equilibrium points of a potential field produced by point charges in the plane. This is a simplified form of a problem posed by Maxwell [4], who considered spatial configurations of the point charges. Using algebraic techniques, we will give an upper bound for planar charges that is sharper than the bound given in [6] for most general configurations of charges. Then we will study an example of a configuration of charges that has exactly the number of equilibrium points that Maxwell's conjecture predicts, and we will look into the nature of the extremal points in this case. We will conclude with a solution to the twin problem for the logarithmic potential, followed by a discussion of the conditions necessary for a degenerate case in the plane.
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Le, Hung Manh, and n/a. "Electronic Properties of Nanostructures from Hydrostatics and Hydrodynamics." Griffith University. School of Science, 1997. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20070403.094305.

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The behaviour of electrons in nanostructures such as quantum wells is of interest for the design of new electronic and electro-optic devices, and also for exploration of basic many-body physics. This thesis develops and tests improved methods for describing such electronic behaviour. The system used for this work was the parabolic quantum well (PQW), an important special system which has recently attracted much experimental and theoretical attention. We firstly report self-consistent nonlinear groundstate solutions of the Poisson equation together with the Thomas-Fermi (TF) hydrostatic equations. In contrast to most previous solutions, all the electron density profiles were inhomogeneous and continuous. We also added a von Weizsacker term with and without the exchange/exchange-correlation to the above treatment, using a novel numerical approach allowing for wider electron gases than previously possible. We also report for the first time the effects of spatially varying effective mass and dielectric function in theories of this type. To investigate infrared response of these systems, we apply new hydrodynamic theories recently proposed by Dobson. By using this type of theory, we simultaneously satisfy the Harmonic Potential Theorem (extended generalized Kohn theorem) and obtain the correct 2D plasmon dispersion, as well as obtaining the correct spacing of standing plasmons. Other inhomogeneous hydrodynamic theories do not achieve this. We also showed analytically an exact solution for a plasmon mode at the Kohn frequency in addition to one found in the Harmonic Potential Theorem. An open hydrodynamic theory was then developed based on this type of mode. Numerical application of Kohn Frequency Theorem theory was shown and the results were compared with other existing hydrodynamic theories.
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Le, Hung. "Electronic Properties of Nanostructures from Hydrostatics and Hydrodynamics." Thesis, Griffith University, 1997. http://hdl.handle.net/10072/366817.

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The behaviour of electrons in nanostructures such as quantum wells is of interest for the design of new electronic and electro-optic devices, and also for exploration of basic many-body physics. This thesis develops and tests improved methods for describing such electronic behaviour. The system used for this work was the parabolic quantum well (PQW), an important special system which has recently attracted much experimental and theoretical attention. We firstly report self-consistent nonlinear groundstate solutions of the Poisson equation together with the Thomas-Fermi (TF) hydrostatic equations. In contrast to most previous solutions, all the electron density profiles were inhomogeneous and continuous. We also added a von Weizsacker term with and without the exchange/exchange-correlation to the above treatment, using a novel numerical approach allowing for wider electron gases than previously possible. We also report for the first time the effects of spatially varying effective mass and dielectric function in theories of this type. To investigate infrared response of these systems, we apply new hydrodynamic theories recently proposed by Dobson. By using this type of theory, we simultaneously satisfy the Harmonic Potential Theorem (extended generalized Kohn theorem) and obtain the correct 2D plasmon dispersion, as well as obtaining the correct spacing of standing plasmons. Other inhomogeneous hydrodynamic theories do not achieve this. We also showed analytically an exact solution for a plasmon mode at the Kohn frequency in addition to one found in the Harmonic Potential Theorem. An open hydrodynamic theory was then developed based on this type of mode. Numerical application of Kohn Frequency Theorem theory was shown and the results were compared with other existing hydrodynamic theories.
Thesis (PhD Doctorate)
Doctor of Philosophy (PhD)
School of Science
Science, Environment, Engineering and Technology
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Alhwaitiy, Hebah Sulaiman. "POTENTIAL THEORY AND HARMONIC FUNCTIONS." Kent State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1448671803.

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Kim, Panki. "Potential theory for stable processes /." Thesis, Connect to this title online; UW restricted, 2004. http://hdl.handle.net/1773/5746.

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Sjödin, Tomas. "Topics in Potential Theory: Quadrature Domains, Balayage and Harmonic Measure." Doctoral thesis, KTH, Mathematics (Dept.), 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-213.

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In this thesis, which consists of five papers (A,B,C,D,E), we are interested in questions related to quadrature domains. Among the problems studied are the possibility of changing the type of measure in a quadrature identity (from complex to real and from real signed to positive), properties of partial balayage, which in a sense can be used to generate quadrature domains, and mother bodies which are closely related to inversion of partial balayage.

These three questions are discussed in papers A,D respectively B.

The first of these questions (when trying to go from real signed to positive measures) leads to the study of approximation in the cone of positive harmonic functions. These questions are closely related to properties of the harmonic measure on the Martin boundary, and this relationship leads to the study of harmonic measures on ideal boundaries in paper E. Some other approaches to the same problem also lead to some extent to the study of properties of classical balayage in paper C.

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Sjödin, Tomas. "Topics in potential theory : quadrature domains, balayage and harmonic measure /." Stockholm, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-213.

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Nguyen, Phuc Cong. "Potential theory and harmonic analysis methods for quasilinear and Hessian equations." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4402.

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Thesis (Ph.D.)--University of Missouri-Columbia, 2006.
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (February 28, 2007) Vita. Includes bibliographical references.
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Kissel, Kris. "Generalizations of a result of Lewis and Vogel /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/5741.

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Baker, Charles Edmond. "On the Determination of Spectral Properties of Certain Families of Operators." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1449153836.

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Books on the topic "Harmonic potential theorem"

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1949-, Picardello Massimo A., ed. Harmonic analysis and discrete potential theory. New York: Plenum Press, 1992.

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Almeida, Alexandre. Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume. Basel: Springer Basel, 2013.

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Burglind, Jöricke, ed. The uncertainty principle in harmonic analysis. Berlin: Springer-Verlag, 1994.

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Mizuta, Yoshihiro. Potential theory in Euclidean spaces. Tokyo: Gakkōtosho, 1996.

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J, Deny, Hirsch F, and Mokobodzki G, eds. Séminaire de théorie du potentiel: Paris, no. 8. Berlin: Springer-Verlag, 1987.

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Jana, Björn, ed. Nonlinear potential theory on metric spaces. Zürich, Switzerland: European Mathematical Society, 2011.

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1953-, Kenig Carlos E., and Lanzani Loredana 1965-, eds. Harmonic measure: Geometric and analytic points of view. Providence, R.I: American Mathematical Society, 2005.

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Introduction to heat potential theory. Providence, R.I: American Mathematical Society, 2012.

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Watson, N. A. Introduction to heat potential theory. Providence, R.I: American Mathematical Society, 2012.

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Anandam, Victor. Harmonic Functions and Potentials on Finite or Infinite Networks. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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Book chapters on the topic "Harmonic potential theorem"

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Sawyer, Stanley. "Laplace’s Method, Stationary Phase, Saddle Points, and a Theorem of Lalley." In Harmonic Analysis and Discrete Potential Theory, 51–67. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4899-2323-3_5.

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Sawano, Yoshihiro. "A Refinement of the Adams Theorem on the Riesz Potential." In Operator Theory and Harmonic Analysis, 497–506. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77493-6_29.

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Csink, Laszlo, and Bernt Øksendal. "Harmonic Morphisms and Ray Processes." In Potential Theory, 71–74. Boston, MA: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0981-9_10.

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Bauer, Heinz. "Harmonic Spaces and Associated Markov Processes." In Potential Theory, 23–67. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11084-9_2.

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Maeda, Fumi-Yuki. "Capacities on Harmonic Spaces with Adjoint Structure." In Potential Theory, 231–36. Boston, MA: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0981-9_30.

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Bagby, Thomas, and Paul M. Gauthier. "Harmonic approximation on closed subsets of Riemannian manifolds." In Complex Potential Theory, 75–87. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0934-5_2.

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Ancona, Alano. "Positive harmonic functions and hyperbolicity." In Potential Theory Surveys and Problems, 1–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0103341.

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Ntalampekos, Dimitrios. "Harmonic Functions on Sierpiński Carpets." In Potential Theory on Sierpiński Carpets, 9–89. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-50805-0_2.

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McDougall, Jane. "Harmonic mappings with quadrilateral image." In Complex Analysis and Potential Theory, 99–115. Providence, Rhode Island: American Mathematical Society, 2012. http://dx.doi.org/10.1090/crmp/055/07.

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Armitage, D. H. "Radial Limiting Behaviour of Harmonic and Super-Harmonic Functions." In Classical and Modern Potential Theory and Applications, 31–40. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1138-6_4.

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Conference papers on the topic "Harmonic potential theorem"

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Salières, Pascal, Anne L'Huillier, and Maciej Lewenstein. "Coherence and Polarization of High Order Harmonics." In High Resolution Fourier Transform Spectroscopy. Washington, D.C.: Optica Publishing Group, 1994. http://dx.doi.org/10.1364/hrfts.1994.pd2.

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The understanding of high-order harmonic generation processes has improved tremendously in the last year, with the two-step semi-classical approximation developed by Corkum and by Kulander et al. [1]. In a high-intensity low-frequency regime, the generation of harmonics occurs through the following process : the electron first tunnels out the barrier of the atomic potential lowered by the intense field. It is then accelerated in the laser field. If its trajectory encounters the nucleus, harmonics can be emitted, following the electron’s recombination to the ground state. A quantum-mechanical theory which recovers and justifies these semi-classical ideas has been formulated by Lewenstein et al. [2]. In addition, this approach, which is analytical to a large extent, allows for a rather simple computation of the harmonic components of the dipole moment. Consequently, it can be easily used as an input to the integration of propagation equations [3], to simulate experimental conditions. In this contribution, we apply this theory to two different problems (1) the study of the spatial coherence (amplitude and phase) of the harmonics, (2) the dependence of the polarization and rotation angle of the harmonics on the ellipticity and intensity of the incident laser field. We compare with experimental results [4,5].
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Yang, Lina, Bai Lin, Jianjia Pan, Yuan Yan Tang, Huiwu Luo, Xichun Li, and Weijia Cao. "Indirect Method-Potential Theory in the Harmonic Transformation Model." In 2017 3rd IEEE International Conference on Cybernetics (CYBCONF). IEEE, 2017. http://dx.doi.org/10.1109/cybconf.2017.7985784.

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Yuan, L., and J. Rastegar. "Linkage Mechanisms With Cam Integrated Joints for Controlled Harmonic Content of the Output Motion: Theory and Application." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57435.

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In a recent study, the authors presented a systematic method for the modification of the output motion of linkage mechanisms with closed-loop chains using cams positioned at one or more of the mechanism joints. In this paper, the method is applied to the design of a linkage mechanism with an integrated cam mechanism for the purpose of eliminating the high harmonic component of the output link motion. The mechanism may be synthesized using well-developed linkage mechanism synthesis techniques for the intended application. Based on this method, a cam mechanism is synthesized for a prescribed output link motion while limiting the output motion to a simple harmonic motion with the frequency of its constant input velocity. The mechanism is constructed and tested. In mechanisms with relatively rigid links, the primary source of high harmonics in the output motion is the nonlinearity of the kinematics of their closed-loop chains. With the present method, a selected range or ranges of high harmonic motions generated due to such nonlinearities may be eliminated by integrating appropriately designed cams. By eliminating the high harmonic component of the output motion of a mechanism, the potential vibrational excitation that the mechanism can impart on the overall system, including its own structure, is greatly reduced. The resulting system should therefore be capable of operating at higher speeds and with increased precision.
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Padmanabhan, Bala, and R. Cengiz Ertekin. "Interaction of Waves With Steady Intake/Discharge Flow Emanating From a 3-D Body." In ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2007. http://dx.doi.org/10.1115/omae2007-29444.

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It has been proposed that the warm surface-water intake pipes distributed around an OTEC plant can generate adequate momentum to globally position a platform to overcome the second-order drift forces, thereby eliminating the need for additional power for thrusters or for mooring lines. It is evident that if the intake rate of the flow is high, there will be interaction among the locally created steady flow due to the intake, the incoming wave and the ensuing platform motions. In this work, we address such concerns by developing a linear theory for obtaining the motions (in the presence of incoming waves) of arbitrary 3-D bodies from which there is a steady intake/discharge. The boundary-value problem is formulated within the assumption of linear potential theory by decomposing the total potential into oscillatory and steady components. The steady potential is further decomposed into double-model and perturbation potentials. The time harmonic potential is coupled with the steady potential through the free-surface condition. The potentials are obtained using the quadratic boundary-element method. The effect of the steady flow on hydrodynamic force coefficients and RAOs are studied.
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Nucera, Claudio, and Francesco Lanza di Scalea. "Nonlinearity in Ultrasonic Guided Waves Propagation in Solids Under Constrained Thermal Expansion." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-63755.

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Finite strain theory has been employed in the past to mathematically describe nonlinear wave propagation phenomena such as acoustoelasticity (wave speed dependency on quasi-static stress), wave interaction, wave distortion, and higher-harmonic generation. The present work expands the topic of nonlinear wave propagation to the case of a constrained solid subjected to thermal loads. In this framework, the anharmonicity of interatomic potentials, and the absorption of the potential energy corresponding to the (prevented) thermal expansion, are identified as sources of nonlinear effects. Such “residual” energy is, at least, cubic as a function of strain, hence leading to a nonlinear wave equation and higher-harmonic generation. Closed-form solutions are given for the longitudinal wave speed and the second-harmonic nonlinear parameter as a function of interatomic potential parameters and temperature increase. According to the proposed model, the prevented thermal expansion of the solid leads to thermal stresses that, in turn, produce a decrease in longitudinal wave speed and a corresponding increase in nonlinear parameter with increasing temperature. Experimental measurements of the ultrasonic nonlinear parameter on a steel block under constrained thermal expansion confirm this trend. Emphasis is placed on the potential of a nonlinear ultrasonic measurement to quantify thermal stresses from prevented thermal expansion. This knowledge can be extremely useful to prevent thermal buckling of various structures, such as continuous-welded rails in hot weather.
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Mertz, Jerome, Laurent Moreaux, and T. Pons. "Perturbative theory of the electro-optic response of second-harmonic generation membrane potential sensors." In International Symposium on Biomedical Optics, edited by Ammasi Periasamy and Peter T. C. So. SPIE, 2002. http://dx.doi.org/10.1117/12.470691.

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Fahimi, F., C. Nataraj, and H. Ashrafiuon. "Obstacle Avoidance for Groups of Mobile Robots Using Potential Field Technique." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60525.

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An efficient real time path planning method for groups of mobile robots in dynamic environments is introduced. Harmonic potential functions are utilized along with the panel method known in fluid mechanics. First, a complement to the traditional panel method is introduced to generate a more effective harmonic potential field for obstacle avoidance in dynamically changing environments. Second, a group of mobile robots working in an environment containing stationary and moving obstacles is considered. Each robot is assigned to move from its current position to a goal position. The group is not forced to maintain a formation during the motion. Every robot considers the other robots of the group as moving obstacles and hence the physical dimensions of the robots are also taken into account. The path of each robot is planned based on the changing position of the other robots and the position of stationary and moving obstacles. Finally, the effectiveness of the scheme is shown by modeling groups of an arbitrary number of mobile robots and the theory is validated by several computer simulations and hardware experiments.
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Gaunaa, Mac, and Jens N. So̸rensen. "Experimental Investigation of Airfoil Subject to Harmonic Translatory Motions." In ASME 2002 Wind Energy Symposium. ASMEDC, 2002. http://dx.doi.org/10.1115/wind2002-35.

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This paper concerns an experimental investigation of a NACA 0015 airfoil subject to harmonic one-degree-of-freedom translatory motion. Specifically, unsteady pressure distributions were measured at a range of incidences and movement directions at reduced frequencies matching real life conditions for the lead-lag motion of wind turbine rotors. From the experimental results, hysteresis loops and aerodynamic damping were computed and compared to results from linear quasi-stationary theory and unsteady potential flow theory. The maximum negative aerodynamic damping was found to take place at moderate stall and an incidence of about 15°, at a movement direction close to the chordwise direction. Comparison with unsteady potential flow theory showed excellent agreement with the experimental data for incidences up to 5°. Linear quasi-stationary theory failed to reproduce the overall features of the aerodynamic damping for incidences above 12°.
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Kurczewski, Nicolas A., Lloyd H. Scarborough, Christopher D. Rahn, and Edward C. Smith. "Coupled Fluidic Vibration Isolators for Rotorcraft Pitch Link Loads Reduction." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70174.

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Replacing rigid pitch links on rotorcraft with coupled fluidic devices has the potential to reduce the aerodynamic blade loads transmitted from the blade root to the swashplate. An analytical model of two coupled fluidic isolators is derived and experimentally validated for even and odd harmonic pitch link loads. The system consists of two elastomeric pumpers with fluid chambers that are coupled by an inertia track. This passive fluidic device can be tuned to reduce the transmitted force at a particular odd harmonic of the rotor speed by tailoring the fluid inertance in the inertia track. Benchtop experimental results agree with theory, demonstrating a reduction in odd harmonic pitch link loads of up to 90% compared to the system without fluid. The coupled fluidic isolators also significantly reduce transmitted loads relative to a rigid pitch link over a wide frequency range. Simulation of a UH-60 Blackhawk retrofit example shows potential for targeted odd harmonic excitation loads reduction up to 94% for multiple frequencies without affecting the even harmonic excitation response.
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Padmanabhan, B., and R. C. Ertekin. "On the Interaction of Waves With Intake/Discharge Flows Originating From a Freely-Floating Body." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28531.

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This work is motivated by the many instances of intake/discharge flows from openings on floating or submerged ocean vessels and structures that may affect the wave field around them. Damaged vessels may release oil, or water may enter these vessels through openings. In oil skimming operations, for example, a very thin layer of oil must be skimmed off a large surface area, and therefore, oil skimming vessels require large intakes. Floating OTEC plants also require large intake and discharge volumes to sustain their operations. A linear theory is developed to obtain the motions of a 2-dimensional, freely floating body (from which steady intake/discharge flows originate) that encounters incoming waves. The boundary-value problem is formulated within the assumptions of linear potential theory by decomposing the total potential into its oscillatory and steady components. The steady potential is further decomposed into the double-model and perturbation potentials. The time-harmonic potential is coupled with the steady potential through the free-surface condition. The potentials are obtained by use of the quadratic boundary-element method based on the Rankine source. The effect of the steady intake/discharge flows on the diffraction loads, hydrodynamic force coefficients, as well as the motions of a 2-dimensional prismatic body floating on the free surface are presented. It is shown that the exciting wave forces and the hydrodynamic coefficients other than the damping coefficients are not appreciably affected by the intake/discharge flows of low Froude number for a 100MW floating OTEC plant.
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