Turbojet engine blade damping

The potentials of various sources of nonaerodynamic damping in engine blading are evaluated through a combination of advanced analysis and testing. The sources studied include material hysteresis, dry friction at shroud and root disk interfaces as well as at platform type external dampers. A limited seris of tests was conducted to evaluate damping capacities of composite materials (B/AL, B/AL/Ti) and thermal barrier coatings. Further, basic experiments were performed on titanium specimens to establish the characteristics of sliding friction and to determine material damping constants J and n. All the tests were conducted on single blades. Mathematical models were develthe several mechanisms of damping. Procedures to apply this data to predict damping levels in an assembly of blades are developed and discussed

Green electricity from biomass fuelled producer gas engine

In the recent times issues like the Green House Gas (GHG) emission reduction and carbon-trading through Clean Development Mechanism (CDM) have gained large prominence as a part of climate change. Biomass gasification is one such technology which is environmentally benign and holds large promise for the future. These technologies are currently being utilized for power generation applications at a number of industrial sites in India and abroad. In India there are nearly 4 MWe equivalent power plants which are based on IISc's open top reburn down draft biomass gasification technology. In the field of power generation, there has been substantial effort in the development of producer gas engine; systematic experimental and modeling studies followed by long duration field monitoring. As a part of this effort, a gas carburetor has been designed for producer gas fuel and forms a part of the power package. The essential requirements of gas conditioning equipment are packaged to meet the engine quality gas as a power plant. Currently there are more than 3.0 MWe equivalent gas engines operating in the field; of this one is deployed in an Energy Service Company (ESCO), which sells green electricity to a textile industry. The company is located at Metupalyam in South India, near the city of Coimbatore. The power plant is configured with a 150 kg/hr gasifier coupled with a turbo charged after cooled Cummins make (GTA855G) gas engine. The plant is also provided with an effluent treatment plant and an engine-waste-heat based biomass drier. The plant commissioned in September 2003 has successfully completed over 7500 hours of operation, generating about 0.7 million units, thus saving a net CO2 of about 0.7 million Tons against a fossil fuel technology. The plant operates on a continuously to meet the end use requirement over 275 hours non stop operations hours of operation. The power plant utilizes a weed namely Julifora Prosopis which is abundantly available in the southern part of India and converts into green energy; additionally generates value added product namely partially activated carbon-Iodine no. of 400-450. The paper reports specific biomass consumption and engine emission monitored over long duration. The specific biomass consumption is measured to be within 1.1 ± 0.1 kg/kWh with an overall efficiency of 22-24%. It is also found to be environmentally benign in terms of emissions; NOx and CO levels are found to be much lower than most of the existing emissions norms of various countries including the United States and European Union. The paper also highlights results from other installations using this technology. Keywords: open top gasifier, producer gas engine, CDM technology

On the Orbit Structure of the Logarithmic Potential

We investigate the dynamics in the logarithmic galactic potential with an analytical approach. The phase-space structure of the real system is approximated with resonant detuned normal forms constructed with the method based on the Lie transform. Attention is focused on the properties of the axial periodic orbits and of low order `boxlets' that play an important role in galactic models. Using energy and ellipticity as parameters, we find analytical expressions of several useful indicators, such as stability-instability thresholds, bifurcations and phase-space fractions of some orbit families and compare them with numerical results available in the literature.Comment: To appear on the Astrophysical Journa

Studies on the infestation of an isopod crustacean, Cirolana fluviatilis in some parts of the Cochin backwaters, Kerala

In July 1994 reports appeared in the media about the large scale occurrence of a tiny 'antlike fish killer' in the Kumbalangi-Perumpadappu area of the Cochin backwaters causing threat to the aquatic living resources.The CMFRI initiated an investigation on the problems. The isopod C.Jluviatilis is a commonly occurring organism in the Cochin backwaters and elsewhere. It is a voracious carnivore which if present in very large numbers can cause a threat to the living resources in the estuarine water area. Population explosion of this isopod has now taken place in the Kumbalangi - Perumpadappu area. The reason for the unprecedented population explosion of this isopod in the Kumbalangi- Perumpadappu area is the recent changes taken place in the ecosystem there

Chaotic mixing in noisy Hamiltonian systems

This paper summarises an investigation of the effects of low amplitude noise and periodic driving on phase space transport in 3-D Hamiltonian systems, a problem directly applicable to systems like galaxies, where such perturbations reflect internal irregularities and.or a surrounding environment. A new diagnsotic tool is exploited to quantify how, over long times, different segments of the same chaotic orbit can exhibit very different amounts of chaos. First passage time experiments are used to study how small perturbations of an individual orbit can dramatically accelerate phase space transport, allowing `sticky' chaotic orbits trapped near regular islands to become unstuck on suprisingly short time scales. Small perturbations are also studied in the context of orbit ensembles with the aim of understanding how such irregularities can increase the efficacy of chaotic mixing. For both noise and periodic driving, the effect of the perturbation scales roughly in amplitude. For white noise, the details are unimportant: additive and multiplicative noise tend to have similar effects and the presence or absence of a friction related to the noise by a Fluctuation- Dissipation Theorem is largely irrelevant. Allowing for coloured noise can significantly decrease the efficacy of the perturbation, but only when the autocorrelation time, which vanishes for white noise, becomes so large that t here is little power at frequencies comparable to the natural frequencies of the unperturbed orbit. This suggests strongly that noise-induced extrinsic diffusion, like modulational diffusion associated with periodic driving, is a resonance phenomenon. Potential implications for galaxies are discussed.Comment: 15 pages including 18 figures, uses MNRAS LaTeX macro

Stability of Nonlinear Control Systems by the Second Method of Liapunov

This report investigates the stability of autonomous closed-loop control systems containing nonlinear elements. An n-th order nonlinear autonomous system is described by a set of n first order differential equations of the type dxi/dt=xi(x1, x2, …xn) i=1,2,…n. Liapunov\u27s second (direct) method is used in the stability analysis of such systems. This method enables one to prove that a system is stable (or unstable) if a function V=V (x1, x2, … xn) can be found which, together with its time derivative, satisfies the requirements of Liapunov\u27s stability (or instability) theorems. At the present time, there are no generally applicable straight forward procedures available for constructing these Liapunov\u27s functions. Several Liapunov\u27s functions, applicable to systems described in the canonic form of differential equations, have been reported in the literature. In this report, it is shown that any autonomous closed-loop system containing a single nonlinear element can be described by canonic differential equations. The stability criteria derived from the Liapunov\u27s functions for canonic systems give sufficient and not necessary conditions for stability. It is known that these criteria reject many systems which are actually stable. The reasons why stable systems are sometimes rejected by these simplified stability criteria are investigated in the report. It is found that a closed-loop system will always be rejected by these simplified stabi1ity criteria if the root locus of the transfer function G(s), representing the linear portion of the system, is not confined to the left-half of the s-plane for all positive values of the loop gain. A pole-shifting technique and a zero-shifting technique, extending -the applicability of the simplified stability criteria to systems that are stable for sufficiently high and/or sufficiently low values of the loop gain, are proposed in this report. New simplified stability criteria have been developed which incorporate the changes in the canonic form of differential equations caused by the application of the zero-shifting technique. Other methods of constructing Liapunov\u27s functions for nonlinear control systems are presented in Chapter III, These include the work of Pliss, Aizerman and Krasovski. Numerous other procedures, which have been reported in literature, apply to only very special cases of automatic control systems. No attempt has been made to account for all of these special cases and the presentation of methods of constructing Liapunov’s functions is limited to only those which are more generally applicable. A pseudo-canonic transformation has been developed which enables one to find stability criteria of canonic systems without the use of complex variables. The results of this research indicate that the second method of Liapunov is a very powerfuI tool of exact stability analysis of nonlinear systems. Additional research, especially in the direction of the methods of construction of Liapunov’s functions, will not only yield new analysis and synthesis procedures, but also will aid in arriving at a set of meaningful performance specifications for nonlinear control systems

Specification and Data Presentation in Linear Control Systems-Part Two

This is the second part of a 2 volume report on the specification and data presentation in linear control systems. This volume deals with Sample Data Systems, Linear Time Variable Parameter Systems, and Performance Indices, which are respectively Chapter II, III, and IV of the volume. Since these subjects are somewhat unrelated, a separate abstract is given at the beginning of each chapter, with the exception of the introductory Chapter I. The separate chapter abstracts are repeated here for the convenience of the reader. Abstract - Linear Sampled Data Control Systems The specifications recommended, for use with sampled data control systems are those recommended for linear, continuous systems [1]. These specifications must be supplemented, as is dictated by the requirements of a particular system, by compatibility considerations that are detailed in the following sections. Abstract - The Specification of Linear Time Variable Parameter Systems Linear time variable parameter (LTVP) systems are defined and subdivided into those systems with fast or slow variations and/or large or small variations. The methods of analysis of such systems are reviewed, and the following recommendations are made. Specifications 1) Time Domain Specifications (a) LTVP systems with fast variation of parameters. Simulated unfrozen system step function responses should all lie within a prescribed envelope. Whenever possible, the actual system response should be obtained. (b) LTVP systems with slow variation of parameters. Simulated or actual frozen or unfrozen system step function responses should all lie within a prescribed envelope. 2) Frequency Domain Specifications (a) LTVP system with fast variation of parameters. Frequency domain specifications are not recommended. (b) LTFP system with slow variation of parameters. The family of frequency response curves of the system frozen at different instants should all lie within a predetermined envelope. Data Presentation It is recommended that the region of variation of closed loop poles of the frozen system be exhibited on the complex plane. Thus, for example, if the only varying parameter is an open loop gain, then the region of variation of the closed loop poles will correspond to the root loci over the total range of variation of gain. It is also recommended that a family of Nyquist diagrams corresponding to the system frozen at different instants be displayed in the case of system with slow variations of parameters. Abstract - Performance Index This study was undertaken to determine whether or not Performance Indices should be used to evaluate and specify control systems* It is recommended that they not be used at this time by the Air Force for the stated purpose. A performance index is defined and detailed discussions are presented for the various performance indices. Analytical methods for evaluating performance indices are presented

Generalized Buneman pruning for inferring the most parsimonious multi-state phylogeny

Accurate reconstruction of phylogenies remains a key challenge in evolutionary biology. Most biologically plausible formulations of the problem are formally NP-hard, with no known efficient solution. The standard in practice are fast heuristic methods that are empirically known to work very well in general, but can yield results arbitrarily far from optimal. Practical exact methods, which yield exponential worst-case running times but generally much better times in practice, provide an important alternative. We report progress in this direction by introducing a provably optimal method for the weighted multi-state maximum parsimony phylogeny problem. The method is based on generalizing the notion of the Buneman graph, a construction key to efficient exact methods for binary sequences, so as to apply to sequences with arbitrary finite numbers of states with arbitrary state transition weights. We implement an integer linear programming (ILP) method for the multi-state problem using this generalized Buneman graph and demonstrate that the resulting method is able to solve data sets that are intractable by prior exact methods in run times comparable with popular heuristics. Our work provides the first method for provably optimal maximum parsimony phylogeny inference that is practical for multi-state data sets of more than a few characters.Comment: 15 page

1-(2-Hy­droxy-5-methyl­phen­yl)-3-(2-methyl­phen­yl)prop-2-en-1-one

In the title compound, C17H16O2, the dihedral angle between the aromatic rings is 5.12 (13)° and an intra­molecular O—H⋯O hydrogen bond generates an S(6) ring

Nonlinear Meissner Effect in CuO Superconductors

Recent theories of the NMR in the CuO superconductors are based on a spin-singlet $d_{x^2-y^2}$ order parameter. Since this state has nodal lines on the Fermi surface, nonlinear effects associated with low-energy quasiparticles become important, particularly at low temperatures. We show that the field-dependence of the supercurrent, below the nucleation field for vortices, can be used to locate the positions of the nodal lines of an unconventional gap in momentum space, and hence test the proposed $d_{x^2-y^2}$ state.Comment: 5 pages (RevTex), 1 figure (postscript file incl.