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Modeling and Analysis of a Multi Bossed Beam Membrane Sensor for Environmental Applications
Arjunan, Nallathambi,Thangavelu, Shanmuganantham The Korean Institute of Electrical and Electronic 2017 Transactions on Electrical and Electronic Material Vol.18 No.1
This paper presents a unique pressure sensor design for environmental applications. The design uses a new geometry for a multi bossed beam-membrane structure with a SOI (silicon-on-insulator) substrate and a mechanical transducer. The Intellisuite MEMS CAD design tool was used to build and analyze the structure with FEM (finite element modeling). The working principle of the multi bossed beam structure is explained. FEM calculations show that a sensing diaphragm with Mises stress can provide superior linear response compared to a stress-free diaphragm. These simulation results are validated by comparing the estimated deflection response. The results show that, the sensitivity is enhanced by using both the novel geometry and the SOI substrate.
Modeling and Analysis of a Multi Bossed Beam Membrane Sensor for Environmental Applications
Nallathambi Arjunan,Shanmuganantham Thangavelu 한국전기전자재료학회 2017 Transactions on Electrical and Electronic Material Vol.18 No.1
This paper presents a unique pressure sensor design for environmental applications. The design uses a newgeometry for a multi bossed beam-membrane structure with a SOI (silicon-on-insulator) substrate and a mechanicaltransducer. The Intellisuite MEMS CAD design tool was used to build and analyze the structure with FEM (finiteelement modeling). The working principle of the multi bossed beam structure is explained. FEM calculations showthat a sensing diaphragm with Mises stress can provide superior linear response compared to a stress-free diaphragm. These simulation results are validated by comparing the estimated deflection response. The results show that, thesensitivity is enhanced by using both the novel geometry and the SOI substrate.
Note on σ-derivations in Near-rings and Reduced Near-rings
ASOKKUMAR, ARJUNAN 대한수학회 2007 Kyungpook mathematical journal Vol.47 No.1
We study σ-derivations on reduced near-rings and extend certain results on derivations to σ-derivations with some conditions.
Existence Results for First Order Impulsive Functional Differential Equations in Banach Spaces
M. Mallika Arjunan,A. Anguraj 한국산업응용수학회 2007 Journal of the Korean Society for Industrial and A Vol.11 No.1
In this paper we prove the existence mild solutions of a first order impulsive initial value problems for functional differential equations in Banach spaces. The results are obtained by using the Lerey-Schauder nonlinear alternative fixed theorem.
CONTROLLABILITY OF IMPULSIVE FRACTIONAL EVOLUTION INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
M. MALLIKA ARJUNAN,V. KAVITHA 한국산업응용수학회 2011 Journal of the Korean Society for Industrial and A Vol.15 No.3
According to fractional calculus theory and Banach’s fixed point theorem, we establish the sufficient conditions for the controllability of impulsive fractional evolution integrodifferential equations in Banach spaces. An example is provided to illustrate the theory.
Baleanu, Dumitru,Arjunan, Mani Mallika,Nagaraj, Mahalingam,Suganya, Selvaraj Korean Mathematical Society 2018 대한수학회보 Vol.55 No.4
This manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.
CONTROLLABILITY RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL SYSTEMS
S.SELVI,M. MALLIKA ARJUNAN 한국산업응용수학회 2012 Journal of the Korean Society for Industrial and A Vol.16 No.2
In this paper, we consider the controllability of a certain class of impulsive neutral evolution differential equations in Banach spaces. Sufficient conditions for controllability are obtained by using the Hausdorff measure of noncompactness and Monch fixed point theorem under the assumption of noncompactness of the evolution system.
EXISTENCE OF SOLUTIONS FOR IMPULSIVE NONLINEAR DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
B. SELVARAJ,M. MALLIKA ARJUNAN,V. KAVITHA 한국산업응용수학회 2009 Journal of the Korean Society for Industrial and A Vol.13 No.3
In this article, we study the existence and uniqueness of mild and classical solutions for a nonlinear impulsive differential equation with nonlocal conditions u'(t) = Au(t) + f(t, u(t), Tu(t), Su(t)), 0 ≤ t ≤ T?, t ≠ ti, u(0) + g(u) = uu(0) + g(u) = u?, △u(ti) = Ii(u(ti)), i = 1, 2,... p, 0 < t₁ < t₂ < … < tp < T?, in a Banach space X, where A is the infinitesimal generator of a C? semigroup, g constitutes a nonlocal conditions, and △u(ti) = u(t?i ) - u(t?i ) represents an impulsive conditions.