free vibration of one dimensional continua

... due to both its relatively small number of 2MRs and the attendance of BO atoms As shown in Fig 1, the energetic stability of the SU-2MR chains exceeds those of ES-2MR chains and also rings as n ... Fig HOMO–LUMO gaps of the silica molecular chains as a function of n for (a) SU-2MR chains, and (b) ES-2MR chains The insets show the isodensity surfaces of the HOMO and LUMO of the SU-2MR chain ... LUMOs of these chains highly localize at the ends of the chains, making mainly these regions responsible for their energy gaps As an example, the insets of Fig show the isodensity surfaces of the...

Ngày tải lên: 16/03/2014, 15:03

... The products consist of nanorods as well as nanoparticles The diameters of SnO2 nanorods are in the range of 100–150 nm with lengths of the order of 1–2 mm The end planes of the nanorods are tetragonal ... increase of the surface-to-volume ratio of nanorods The concentration of tin ions in solution also influences to the size of nanorods The formation of SnO2 nanorods was obtained with the progress of ... represents vibrations in the direction of the c-axis, but A1g and B1g are modes describing vibrations perpendicular to the c-axis [21] Seven modes of A2u and 3Eu are IR active and two modes of A2g...

Ngày tải lên: 20/03/2014, 13:08

... because of disconnections In traffic theory, this is known as the free flow state [3] In this paper, we investigate the connectivity properties of one- dimensional VANET in the presence of channel ... located on the roadside) The amount of multi-path component depends on the surroundings of the highway, i.e., presence of obstacles and reflectors and the number of moving (vehicles) obstacles on ... is used to model propagation paths consisting of one strong LOS component and many random weaker components In rural highways, the multipath components may be weak, so the communication can be...

Ngày tải lên: 21/06/2014, 17:20

... (inset of Fig 3a) of a single nanowire is also consistent with the single crystalline nature of CdS indexed as the [010] zone axis In Fig 3c, the CdS nanowire is coated with a thin layer of ZnS ... enlargement of the marked region in Fig 3c, from which we can see the shell is made up of ZnS nanoparticles of *4 nm diameter growing along 123 Fig SEM images (a) of CdS nanowires and (b) of 1D CdS@ZnS ... (SAED) pattern of the CdS@ZnS nanocomposite is mainly composed of two sets of diffraction patterns The dashed parallelogram is À indexed as that of hexagonal CdS along the ½2 1Š zone axis and diffraction...

Ngày tải lên: 22/06/2014, 01:20

... periodicity of 1.26 nm are clearly visible in STM images of the h-BN phase (The image was taken with a bias voltage of VB = 1.8 V and a set tunneling current of IT = nA.) The corrugation in STM images of ... release of H2 to create the hBN layers The sample is exposed to · 10–7 mbar of borazine vapor for (equal to 41 Langmuir) at a given sample surface temperature, followed by one minute of post-annealing ... consists of oxygen exposure followed by high temperature (2200 K) flashing The cleanliness was tested by LEED, UPS, and XPS; contamination levels were below the detection limit of 5% of a monolayer (one...

Ngày tải lên: 22/06/2014, 22:20

... equations As a result, the study of the Navier-Stokes equations becomes one of the most popular areas of modern mathematics In this thesis, We will focus on the one dimensional Navier-Stokes equations ... and Yu studied the fundamental solution of one dimensional Boltzmann equation and the large time behaviors of the solutions The proof is based on two types of decompositions: the particle-wave decomposition ... (2.14) Proof Similar as in [21], the first part is consequence of the spectrum gap property of the eigenvalues at the origin We omit the proof of this part We calculate the behavior of λ for |η|...

Ngày tải lên: 09/09/2015, 10:15

... List of Publications ……………………………………………….… xi List of Tables ………………………………………………………… xiii List of Figures ………………………………………………………… xiv List of Abbreviations ………………………………………………… xxi 1.2 One- dimensional ... List of Abbreviations LOD Limit of detection LOL Limit of linearity M1 First metal component M2 Second metal component MWCNT Multi-walled carbon nanotubes MWCNT/PPV-n Label for samples of MWCNT/PPV ... range of applications As proposed by Pokropivny et al.,9 nanostructures can be classified according to their dimensionality as a whole, that is zero -dimensional (0D), one- dimensional (1D), two-dimensional...

Ngày tải lên: 10/09/2015, 09:29

... array with a size of 100nm and a spacing of 1.1 µm, and (B) carbon nanofibers array (45ºtilt) grown by PECVD with a diameter of 100 nm and a length of µm Scale bars µm (C) HRTEM of one CNF, the scale ... SEM image (45°tilt) of part of a CNN array with CNN base diameters of 100 nm and lengths of μm, the scale bar is μm The inset is an EDX signal obtained from the bottom of one of the CNNs ... stacked-cone arrangement, bamboo, chevron, ice cream cone or piled cone ~ 19 ~ Chapter Figure 2-6: Schematic structure of carbon nanotubes and carbon nanofibers (A) Nanotube and (B) Stacked cone nanofibers...

Ngày tải lên: 11/09/2015, 09:18

... thickness of the ONWs is of the order of several ångström, the observed LDOS is a convolution of the LDOS of the SiNWs and that of the adsorbed PQ aggregates Therefore, the contribution of the LDOS of ... analysis of the Si2p core levels and valence band of the surface [1] To address the issue of whether or not any type of molecule will react exclusively with the SiNWs, we used two different types of ... MRSEC of the National Science Foundation (DMR-0213706) are gratefully acknowledged We thank the group of Prof S Marder, Georgia Institute of Technology, for providing the THAP molecules, and Prof...

Ngày tải lên: 16/03/2014, 15:35

... w15x 4y ŽFig 3Žb The anionic chain of W6 O 20 of is constructed from corner- and edge-sharing WO6 octahedra 4y while the one- dimensional chains of Mo O 20 of ŽC H 10 N2 wMo O 10 x w15x is built ... Comparison of the one- dimensional chains adopted by the anions in: Ža ŽC H 10 N2 wW3 O10 x 1; Žb ŽC H 10 N2 wMo O10 x w15x; and Žc an open framework solid K wW3 O10 x w16x clinic one- dimensional ... data of one of the phases, a mono- Results and Discussion The title compound is initially isolated from the hydrothermal reaction of WO , en, NaOH and H O in polycrystalline form Replacement of...

Ngày tải lên: 19/03/2014, 16:48

... might have not seen the light of the day In this context, we also thank Prof Hans Weidenmueller, Prof Yoseph Imry, Prof Markus Buttiker, Prof Amnon Aharony and Prof Yigal Meir for their advices ... context of correlated electron systems The first of these developments is of purely theoretical nature and goes under the name of dynamical mean-field theory [17] (DMFT) The DMFT has become one of the ... called the figure of merit A higher value of this figure of merit indicates a better thermoelectric material Using the free electron gas as a model system, Ioffe calculated the figure of merit and predicted...

Ngày tải lên: 04/06/2014, 15:01

... for one- dimensional flow of a compressible viscous c zc fluid: stabilization of the solution,” Glasnik Matematiˇ ki In press c N Mujakovi´ , “Nonhomogeneous boundary value problem for one- dimensional ... Mujakovi´ , One- dimensional flow of a compressible viscous micropolar fluid: the Cauchy c problem,” Mathematical Communications, vol 10, no 1, pp 1–14, 2005 N Mujakovi´ , “Uniqueness of a solution of the ... small perturbations of the constants Boundary Value Problems In the proof of Theorem 2.1, we apply some ideas of and obtain the similar results as in where a stabilisation of the generalized...

Ngày tải lên: 21/06/2014, 16:20

... has at least one positive solution y t , t ∈ J with property 3.17 Proof The proof is similar to that of Theorem 3.2 of Theorem 3.5 Assume that H1 , H2 , 3.1 of H3 and 3.14 and 3.15 of H4 hold ... < ξ < L 3.27 Proof If 3.1 of H3 holds, similar to the proof of 3.7 , we can prove that Ty PC1 ≤ y PC1 y ∈ K, , y l PC1 3.28 If 3.14 and 3.15 of H4 hold, similar to the proof of 3.23 , we have ... being sufficiently large, BVP 1.6 has at least one positive solution y t , t ∈ J with property 3.4 Proof The proof is similar to that of Theorem 3.1 of 16 Boundary Value Problems In Theorem 3.3,...

Ngày tải lên: 21/06/2014, 16:20

... as-synthesized Cd3P2 and Zn3P2 nanotubes because of the release of builtin strain Nanowires Nanowire is one of the most common 1-D structure and many kinds of materials can form into the nanowire structures ... synthesis of Zn3P2 nanowires by the reaction between Zn and InP powders at 850 °C These Zn3P2 nanowires are also single crystals and have typical diameters of about 100 nm and lengths of tens of microns, ... Figure 4a is a SEM image of the synthesized Zn3P2 nanobelts with rectangular cross-sections, which have diameters of about 100–200 nm and thickness of 40 nm A TEM image of a single Cd3P2 nanobelt...

Ngày tải lên: 21/06/2014, 20:20

... catalytic material on the tip of a nanostructure f A high magnification TEM image shows a part of one nanostructure The FFT pattern demonstrates the single crystalline nature of the nanostructure The ... lattice fringes in the inset have a neighboring spacing of 0.358 nm, close to the d-spacing of (110) plane of rutile TiO2 The growth direction of the nanostructure is close to the [210] direction ... the effectiveness of them was found to be in the order of Ni [ (Au, Ag) [ (Pd, Pt) While a catalytic material was used in syntheses, it can be detected from the tips of most of nanostructures...

Ngày tải lên: 22/06/2014, 00:20

... according to a one- dimensional linear array In that way, the projection onto an ordered set of prototypes also provides a dimensionality-reduced representation of the data in terms of a one- dimensional ... applied by means of two -dimensional SOMs [16] Unlike classical SOM applications, our one- dimensional map can be used to visualize the variation of intensity profiles along the array of prototypes ... Figure Leave -one- out correlation of 1D-SOM vs HCA/K-means Leave -one- out correlation of 1D-SOM vs HCA/K-means Measuring robustness in terms of the leave -one- out (Loo) correlation of 1D-SOM in...

Ngày tải lên: 12/08/2014, 17:20

Ngày tải lên: 13/11/2014, 10:12

... 3.5 Lyapunov exponent of the GSL with disordered square scalar potential 3.6 Lyapunov exponent of the GSL with amplitude-disordered δ vector potential 42 3.7 Lyapunov exponent of the GSL with ... of random matrices shown in Eq (3.15) Since the pioneering work of Furstenberg [145, 146], it is well known that the larger eigenvalue of such a product grows exponentially with probability one ... single layer of graphite, i.e., it 1.2 Physics of Disorder in Current Research Frontiers is a 2D allotrope of graphite with carbon atoms organizing into a honeycomb lattice structure [42] One fundamental...

Ngày tải lên: 09/09/2015, 08:16

... of degrees of freedom In this harmonic expression, i is a vector of nodal amplitudes (the mode shape) for the ith mode of vibration The symbol i represents the angular (natural) frequency of ... sample Parameters Radius of cylinder Length of cylinder Angle Thickness of cylinder Thickness of stiffeners Height of stiffeners No stiffeners Type of stiffeners Modulus of elasticity Mass density ... frequency (i) of the vibration is important to give an idea about the oscillation of the system with time, stiffness to weight ratios for different modes of oscillations, the free vibration (modal...

Ngày tải lên: 09/09/2015, 10:17

Ngày tải lên: 04/10/2015, 17:05