10 research outputs found
Advanced models for free vibration analysis of laminated beams with compact and thin-walled open/closed sections
Get PDFIn this paper, refined one-dimensional beam theories are implemented for the free vibration analysis of laminated beams with compact and thin-walled cross-sections. The proposed models are based on the Carrera Unified Formulation, which was formerly introduced for the analysis of plates and shells and recently extended to beam structures by the first author and his co-workers. Carrera Unified Formulation is a hierarchical modelling technique leading to very accurate and computationally efficient finite element theories. According to the latest developments in the framework of Carrera Unified Formulation, refined beam models are implemented using either Taylor-like or Lagrange-like polynomials in order to expand the unknown kinematic variables on the cross-section of the beam. Equivalent single layer models result from the former approach. On the other hand, if Lagrange polynomials are used, layer-wise models are produced. In this work, a classical one-dimensional finite element formulation along the beam length is used to develop numerical applications. A number of laminated beam structures are analyzed, and particular attention is given to laminated box beams with open and closed cross-sections. The frequencies and the mode shapes obtained with the present refined beam elements are compared with solid/shell finite element solutions from the commercial code MSC/Nastran and, when possible, with those found in the literature. The modal assurance criterion is used for model-to-model comparisons so as to demonstrate the enhanced capabilities of the proposed formulation in investigating the free vibration characteristics of both compact and thin-walled box laminated beam
Properties of solutions to some weighted p-Laplacian equation
No full textIn this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by-div (w|∇u|p-2∇u) = f(x, u), u ∈ Ap, on smooth domain and for varying nonlinearity f.Peer reviewe
Existence and nonexistence results for anisotropic p-Laplace equation with singular nonlinearities
No full textLet pi≥ 2 and consider the following anisotropic p-Laplace equation −∑Ni=1∂∂xi(∣∣∂u∂xi∣∣pi−2∂u∂xi)=g(x)f(u),u>0 in Ω. Under suitable hypothesis on the weight function g we present an existence result for f(u)=e1u in a bounded smooth domain Ω and nonexistence results for f(u)=−e1u or −(u−δ+u−γ), δ,γ>0 with Ω=RN respectively.Peer reviewe
Weak Harnack inequality for a mixed local and nonlocal parabolic equation
No full textPublisher Copyright: © 2023 The Author(s)This article proves a weak Harnack inequality with a tail term for sign changing supersolutions of a mixed local and nonlocal parabolic equation. Our argument is purely analytic. It is based on energy estimates and the Moser iteration technique. Instead of the parabolic John-Nirenberg lemma, we adopt a lemma of Bombieri-Giusti to the mixed local and nonlocal parabolic case. To this end, we prove an appropriate reverse Hölder inequality and a logarithmic estimate for weak supersolutions.Peer reviewe
Zotero – An Open-Source Reference Management Software: A Practical Manual
No full textTitle of the Book: Libraries and Open Science: Issues Challenges and Opportunities;
Author(s): Edited by S K Sonkar and M P Singh;
Publisher: Ess Ess Publications, New Delhi;
Year of Publication: 2022;
Pages: 310-324
Unsteady solute dispersion in the presence of reversible and irreversible reactions
No full textIn an unsteady pulsatile non-Newtonian fluid past a tube with a thin wall layer, the dispersion of a narrow uniform slug of injected solute over a cross-section is examined. At the interface between the mobile fluid phase and the immobile wall phase, both irreversible and reversible reactions have been adopted. The Carreau-Yasuda model is used to describe the fluid's rheology. The impacts of fluid rheology and reaction parameters on the concentration profiles in the fluid- and wall-phases and the three transport coefficients, viz, the depletion coefficient (K-0), the convection coefficient (K-1), the dispersion coefficient (K-2) in the fluid phase are predicted numerically. A considerable shift in the behaviour of K-1 and K(2 )with a higher reaction rate may be observed in the transient stage. The axial dispersion of mobile-phase concentration in the unsteady Carreau-Yasuda II fluid model is significantly larger than in Poiseuille and steady Carreau-Yasuda II fluid models, and flow pulsatility on the immobile-phase concentration is prominent upstream at a longer time. In addition, the peak value of the mobile-phase section-mean concentration is consistently lower than in other fluid models. This study could help researchers to understand the drug delivery in blood vessels and pulmonary mechanical ventilation. (C) 2022 The Author(s) Published by the Royal Society. All rights reserved
High perturbations of quasilinear problems with double criticality
No full textFunding Information: Claudianor O. Alves was partially supported by CNPq/Brazil 304804/2017-7. The work of Vicenţiu D. Rădulescu was supported by a grant of the Romanian Ministry of Education and Research, CNCS-UEFISCDI, Project number PN-III-P4-ID-PCE-2020-0068, within PNCDI III. Vicenţiu D. Rădulescu was also supported by the Slovenian Research Agency program P1-0292. Publisher Copyright: © 2021, The Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.This paper is concerned with the qualitative analysis of solutions to the following class of quasilinear problems {-ΔΦu=f(x,u)inΩ,u=0on∂Ω,where ΔΦu=div(φ(x,|∇u|)∇u) and Φ(x,t)=∫0|t|φ(x,s)sds is a generalized N-function. We assume that Ω ⊂ RN is a smooth bounded domain that contains two open regions Ω N, Ω p with Ω ¯ N∩ Ω ¯ p= ∅. The features of this paper are that - Δ Φu behaves like - Δ Nu on Ω N and - Δ pu on Ω p, and that the growth of f: Ω × R→ R is like that of eα|t|NN-1 on Ω N and as |t|p∗-2t on Ω p when |t| is large enough. The main result establishes the existence of solutions in a suitable Musielak–Sobolev space in the case of high perturbations with respect to the values of a positive parameter.Peer reviewe
Growth of Research Productivity of the University of Mysore: A Scientometric Study
No full textThe present study aims to identify the research productivity of University of Mysore during 1989 to 2018. The study also tried to retrieve the information regarding the total number of citations, h-index, average citation per article of the faculty members of University of Mysore using Web of Science. In order to get the research output of the university, the search terms ‘University of Mysore’ is entered in the search box of the “Web of Science”. The result of the study shows that 4838 records of the University of Mysore have been included in the Web of Science database, out of which, majority 91.28% of the records are research articles. The study identified that among the faculty members of University of Mysore, Rangappa has received highest number of citations (4027), followed by Yathirajan has received 2425 citations. In this context, the study recommends that the faculty members of the both universities need to publish their research articles in peer reviewed journals with high Impact Factor.
Probing the Limits of Optical Loss in Ion-Sliced Thin-film Lithium Niobate
No full textWe measured the absorption-limited loss at telecommunication wavelengths for thin-film lithium niobate micro-ring resonators using Kerr-calibrated linear response technique. We find the average absorption loss-rate kappa(abs)/2 pi to be 3.65 +/- 0.70 MHz, corresponding to a Q-factor of 55 Million. (c) 2021 The Author(s)LPQ
Reduced material loss in thin-film lithium niobate waveguides
No full textThin-film lithium niobate has shown promise for scalable applications ranging from single-photon sources to high-bandwidth data communication systems. Realization of the next generation high-performance classical and quantum devices, however, requires much lower optical losses than the current state of the art resonator (Q-factor of similar to 10 x 10(6)million). Yet the material limitations of ion-sliced thin film lithium niobate have not been explored; therefore, it is unclear how high the quality factor can be achieved in this platform. Here, using our newly developed characterization method, we find out that the material limited quality factor of thin film lithium niobate photonic platform can be improved using post-fabrication annealing and can be as high as Q approximate to 1.6 x 10(8) at telecommunication wavelengths, corresponding to a propagation loss of 0.2 dB/m. (C) 2022 Author(s).LPQ
