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Stability improvement for response attenuation of bridge columns with one dimensional meta-material based isolation systems

  • Saumitra Jain;Sumiran Pujari;Arghadeep Laskar
    • Earthquakes and Structures
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    • v.24 no.3
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    • pp.193-204
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    • 2023
  • The concept of meta-material-based isolation systems (MMIS) for structural columns has been revisited in the present study in order to enhance the stability of rubber pads by using steel shim reinforced rubber (SSRR) layers. Analytical calculations have shown a significant improvement in the stability of MMIS with SSRR pads. Finite element analysis has also been conducted to further show the reduced response of a bridge with the modified MMIS under excitations having frequencies within the corresponding attenuation zone (AZ) as compared to the response of a conventional bridge without MMIS. FE analysis further shows the stress generated on the bridge with MMIS systems are within safe limits. Finally, a generalized procedure has been developed to design bridge columns with the proposed modified MMIS.

A NEW MIXED FINITE ELEMENT METHOD FOR BURGERS' EQUATION

  • Pany Ambit Kumar;Nataraj Neela;Singh Sangita
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.43-55
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    • 2007
  • In this paper, an $H^1-Galerkin$ mixed finite element method is used to approximate the solution as well as the flux of Burgers' equation. Error estimates have been derived. The results of the numerical experiment show the efficacy of the mixed method and justifies the theoretical results obtained in the paper.

Human Health Risk Assessment Due to Air Pollution in the Megacity Mumbai in India

  • Maji, Kamal Jyoti;Dikshit, Anil Kumar;Chaudhary, Ramjee
    • Asian Journal of Atmospheric Environment
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    • v.11 no.2
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    • pp.61-70
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    • 2017
  • This study evaluated the human health risk in terms of the excess number of mortality and morbidity in the megacity Mumbai, India due to air pollution. AirQ software was used to enumerate the various health impacts of critical pollutants in Mumbai in past 22 years during 1992-2013. A relationship concept based on concentration-response relative risk and population attributable-risk proportion was employed by adopting World Health Organization (WHO) guideline for concentrations of air pollutants like $PM_{10}$, $SO_2$ and $NO_2$. For the year 1992 in Mumbai, it was observed that excess number of cases of total mortality, cardiovascular mortality, respiratory mortality, hospital admission due to COPD, respiratory disease and cardiovascular disease were 8420, 4914, 889, 149, 10568 and 4081 respectively. However, after 22 years these figures increased to 15872, 9962, 1628, 580, 20527 and 7905 respectively, but all of these reached maximum in the year 2006. From the result, it is also noted that except COPD morbidity the excess number of cases from 1992-2002 to 2003-2013 increased almost by 30%; and the excess number of mortality and morbidity is basically due to particulate matter ($PM_{10}$) than due to gaseous pollutants.

New evidences of neurotoxicity of aroclor 1254 in mice brain: potential of coenzyme q10 in abating the detrimental outcomes

  • Majumdar, Anuradha;Nirwane, Abhijit;Kamble, Rahul
    • Environmental Analysis Health and Toxicology
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    • v.29
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    • pp.1.1-1.7
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    • 2014
  • Objectives The present subacute study was designed to evaluate the effect of coenzyme Q 10 (CoQ10) in the 28 days aroclor 1254 exposure induced oxidative stress in mice brain. Methods Biochemical estimations of brain lipid peroxidation (LPO), reduced glutathione (GSH), and activities of superoxide dismutase (SOD), catalase (CAT), glutathione peroxidase (GPx) and acetyl cholinesterase (AChE), and histopathological investigations of brain tissue were carried out. Results Oral exposure of aroclor 1254 (5 mg/kg) led to significant decrease in levels of GSH, and activities of SOD, CAT, GPx, and AChE, and increase in LPO. These aberrations were restored by CoQ10 (10 mg/kg, intraperitoneal injection [IP]). This protection offered was comparable to that of L-deprenyl (1 mg/kg, IP) which served as a reference standard. Conclusions Aroclor 1254 exposure hampers the activities of various antioxidant enzymes and induces oxidative stress in the brains of Swiss albino mice. Supplementation of CoQ10 abrogates these deleterious effects of aroclor 1254. CoQ10 also apparently enhanced acetyl cholinesterase activity which reflects its influence on the cholinergic system.

Dynamic analyses and field observations on piles in Kolkata city

  • Chatterjee, Kaustav;Choudhury, Deepankar;Rao, Vansittee Dilli;Mukherjee, S.P.
    • Geomechanics and Engineering
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    • v.8 no.3
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    • pp.415-440
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    • 2015
  • In the present case study, High Strain Dynamic Testing of piles is conducted at 3 different locations of Kolkata city of India. The raw field data acquired is analyzed using Pile Driving Analyzer (PDA) and CAPWAP (Case Pile Wave Analysis Programme) computer software and load settlement curves along with variation of force and velocity with time is obtained. A finite difference based numerical software FLAC3D has been used for simulating the field conditions by simulating similar soil-pile models for each case. The net pile displacement and ultimate pile capacity determined from the field tests and estimated by using numerical analyses are compared. It is seen that the ultimate capacity of the pile computed using FLAC3D differs from the field test results by around 9%, thereby indicating the efficiency of FLAC3D as reliable numerical software for analyzing pile foundations subjected to impact loading. Moreover, various parameters like top layers of cohesive soil varying from soft to stiff consistency, pile length, pile diameter, pile impedance and critical height of fall of the hammer have been found to influence both pile displacement and net pile capacity substantially. It may, therefore, be suggested to include the test in relevant IS code of practice.

Detection of crack in L-shaped pipes filled with fluid based on transverse natural frequencies

  • Murigendrappa, S.M.;Maiti, S.K.;Srirangarajan, H.R.
    • Structural Engineering and Mechanics
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    • v.21 no.6
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    • pp.635-658
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    • 2005
  • The possibility of detecting a crack in L-shaped pipes filled with fluid based on measurement of transverse natural frequencies is examined. The problem is solved by representing the crack by a massless rotational spring, simulating the out-of-plane transverse vibration only without solving the coupled torsional vibration and using the transfer matrix method for solution of the governing equation. The theoretical solutions are verified by experiments. The cracks considered are external, circumferentially oriented and have straight front. Pipes made of aluminium and mild steel are tested with water as internal fluid. Crack size to pipe thickness ratio ranging from 0.20 to 0.57 and fluid (gauge) pressure in the range of 0 to 10 atmospheres are examined. The rotational spring stiffness is obtained by an inverse vibration analysis and deflection method. The details of the two methods are given. The results by the two methods are presented graphically and show good agreement. Crack locations are also determined by the inverse analysis. The maximum absolute error in the location is 13.80%. Experimentally determined variation of rotational spring stiffness with ratio of crack size to thickness is utilized to predict the crack sizes. The maximum absolute errors in prediction of crack size are 17.24% and 16.90% for aluminium and mild steel pipes respectively.

Mixed finite element model for laminated composite beams

  • Desai, Y.M.;Ramtekkar, G.S.
    • Structural Engineering and Mechanics
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    • v.13 no.3
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    • pp.261-276
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    • 2002
  • A novel, 6-node, two-dimensional mixed finite element (FE) model has been developed to analyze laminated composite beams by using the minimum potential energy principle. The model has been formulated by considering four degrees of freedom (two displacement components u, w and two transverse stress components ${\sigma}_z$, $\tau_{xz}$) per node. The transverse stress components have been invoked as nodal degrees of freedom by using the fundamental elasticity equations. Thus, the present mixed finite element model not only ensures the continuity of transverse stress and displacement fields through the thickness of the laminated beams but also maintains the fundamental elasticity relationship between the components of stress, strain and displacement fields throughout the elastic continuum. This is an important feature of the present formulation, which has not been observed in various mixed formulations available in the literature. Results obtained from the model have been shown to be in excellent agreement with the elasticity solutions for thin as well as thick laminated composite beams. A few results for a cross-ply beam under fixed support conditions are also presented.

HIGHER ORDER FULLY DISCRETE SCHEME COMBINED WITH $H^1$-GALERKIN MIXED FINITE ELEMENT METHOD FOR SEMILINEAR REACTION-DIFFUSION EQUATIONS

  • S. Arul Veda Manickam;Moudgalya, Nannan-K.;Pani, Amiya-K.
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.1-28
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    • 2004
  • We first apply a first order splitting to a semilinear reaction-diffusion equation and then discretize the resulting system by an $H^1$-Galerkin mixed finite element method in space. This semidiscrete method yields a system of differential algebraic equations (DAEs) of index one. A priori error estimates for semidiscrete scheme are derived for both differ-ential as well as algebraic components. For fully discretization, an implicit Runge-Kutta (IRK) methods is applied to the temporal direction and the error estimates are discussed for both components. Finally, we conclude the paper with a numerical example.