Journal of experimental & applied mechanics (vol5, issue2)

Page 1

Journal of Experimental & Applied Mechanics (JoEAM) ISSN: 2321-516X

May - August 2014

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Indian Institute of Technology, Madras Chennai - 600 036, India, India.

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Dr. G. Chandra Mohan Reddy

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STM JOURNALS

I take the privilege to present the hard copy compilation for the [Volume 5 Issue (2)] of Journal of Experimental & Applied Mechanics. The intension of JoEAM is to create an atmosphere that stimulates creativeness, research and growth in the area of Experimental & Applied Mechanics. The development and growth of the mankind is the consequence of brilliant Research done by eminent Scientists and Engineers in every field. JoEAM provides an outlet for Research findings and reviews in areas of Experimental & Applied Mechanics found to be relevant for National and International recent developments & research initiative. The aim and scope of the Journal is to provide an academic medium and an important reference for the advancement and dissemination of Research results that support high level learning, teaching and research in the domain of Experimental & Applied Mechanics. Finally, I express my sincere gratitude and thanks to our Editorial/ Reviewer board and Authors for their continued support and invaluable contributions and suggestions in the form of authoring writeups/ reviewing and providing constructive comments for the advancement of the journals. With regards to their due continuous support and co-operation, we have been able to publish quality Research/Reviews findings for our customers base. I hope you will enjoy reading this issue and we welcome your feedback on any aspect of the Journal.

Dr. Archana Mehrotra Director STM Journals


Journal of Experimental & Applied Mechanics

Contents

1. Finite Element Modeling of Active Twist in Rotor Blades using IDE-PFC Actuators Partha Bhattacharya

1

2. Effect of Fly Ash on the Damping Behaviour of Glass Fiber Reinforced Composite S. K. Tiwari, Ashwani Kumar, Dhananjay Singh

14

3. Hankel Transformation for Chaotic Bionanostructures due to Z+ BIS Intake: Symmetric Fourier Kernel of the Perturbed Organic Biomechanical Systems Tuhin Datta, Madan Mohan Bajaj, Ritu

19

4. Convection in Compressible Couple-Stress Dusty Fluid Pardeep Kumar, Vivek Kumar

27


Journal of Experimental & Applied Mechanics ISSN: 2230-9845 (online), ISSN: 2321–516X (print) Volume 5, Issue 2 www.stmjournals.com

Finite Element Modeling of Active Twist in Rotor Blades using IDE-PFC Actuators Partha Bhattacharya* Department of Civil Engineering, Jadavpur University, Kolkata, W.B., India Abstract Blade Vortex Interaction in rotating helicopter blades contributes significantly to the instability and high vibration levels during its operations. It is therefore essential to evolve a mechanism to reduce unwanted vibration. Several methods/devices, like the smart trailing edge flap actuators, active blade twist, etc are suggested. Active blade twist concept deals with changing the angle of attack and thereby reducing vibration and noise. The piezoelectric actuators are the promising devices to achieve the active blade twist. Due to the conformability and positioning aspects, active fiber composite actuators (piezoelectric fiber composite) with interdigitated electrodes gain an edge over the conventional piezoelectric patch actuators. In the present work, a four noded plate finite element is formulated to model the rotor blades with IDE-PFC actuators. The element consists of both mechanical as well as electrical degrees of freedom. The constitutive equations are derived and FE formulation is developed. Results are obtained for static deflection due to piezoelectric actuation and are validated. Subsequently, parametric studies are carried out on laminated composite rotating blades with IDE-PFC actuation and the validity of the developed element for d33 actuation is established.

Keywords: Helicopter Blade, IDE-PFC Actuator, Piezoelectricity, Gyroscope

JoEAM (2014)Š STM Journals 2014. All Rights Reserved


Journal of Experimental & Applied Mechanics ISSN: 2230-9845 (online), ISSN: 2321–516X (print) Volume 5, Issue 2 www.stmjournals.com

Effect of Fly Ash on the Damping Behaviour of Glass Fiber Reinforced Composite S. K. Tiwari, Ashwani Kumar*, Dhananjay Singh Mechanical Engineering Department, NIT Jalandhar, India Abstract Composite materials are advanced materials which have wide range of application in engineering field due to its numerous advantages. High strength to weight ratio is of utmost demand of major industries such as automobile and aerospace, which a composite material can easily cater. One of the most common methods is reinforcing hard phase materials into the polymer matrix. This improves the strength but also increases the cost of the composite. Therefore, inexpensive reinforcements or fillers are identified and used. In this paper the effects of fly ash as filler are investigated to improve the damping properties of polymer composite on a cantilever beams made up of glass fibers. Fabrication of filler filled composites for different concentration of fillers (5, 10, 15, 20 and 25 wt. %) with the matrix (Lapox C-51 resin) is done by using hand layup process. This paper presents the experimental study on damping characteristics of free vibration. Results show that the composite with 15% of filler by wt. has the highest damping of composites.

Keywords: Fly ash, modal analysis, damping, vibration composite

JoEAM (2014)Š STM Journals 2014. All Rights Reserved


Journal of Experimental & Applied Mechanics ISSN: 2230-9845 (online), ISSN: 2321-516X (print) Volume 5, Issue 2 www.stmjournals.com

Hankel Transformation for Chaotic Bionanostructures due to Z+ BIS Intake: Symmetric Fourier Kernel of the Perturbed Organic Biomechanical Systems Tuhin Datta1*, Madan Mohan Bajaj2, Ritu3 1

Department of Physics, Ramjas College, University of Delhi, University Enclave, Delhi-100007, India 2 Department of Physics & Astrophysics, University of Delhi, Delhi-100007, India 3 Department of Mathematics, Dyal Singh College, University of Delhi; Lodi Road, Lodi Colony, New Delhi-110003, India

Abstract In this universe, we observe several BIS processes, which generate intense and farreaching BIS fields in the human body. BIS means breakdown of integrated systems. BIS load successfully explains several observed phenomena in human traumatology and critically examines the probability of traumatic consequences of individuals having high BIS load. In this paper, the authors have given a generalization of the Hankel transform for nanostructures in which the Meijer G-function plays the role of being a symmetrical Fourier kernel. Several properties of self-reciprocal function under this transform analogous to those given by Hardy and Titchmarsh have been derived therefrom. The results arrived at have been supported by means of examples. It contributes to our understanding of neurological, cardiac, nephronic, urological disorders due to the topological changes in the bionanosystem. Constant mechanical processes continue in the human body. The present work is to construct a mechanical model of the chaotic and highly perturbed nanostructures due to Z+ BIS intake using rigorous mathematical tools. Mathematical subject classification: 47B35, 47B36, 47B40

Keywords: Meijer G-function, BIS effect, hankel transform, nanostructures, nanosystems, self-reciprocal function

JoEAM (2014)Š STM Journals 2014. All Rights Reserved


Journal of Experimental & Applied Mechanics ISSN: 2230-9845 (online), ISSN: 2321-516X (print) Volume 5, Issue 2 www.stmjournals.com

Convection in Compressible Couple-Stress Dusty Fluid Pardeep Kumar1*, Vivek Kumar2 1

Department of Mathematics, ICDEOL, Himachal Pradesh University, Summer-Hill, Shimla 171005, India 2 Department of Mathematics, College of Engineering Studies, University of Petroleum & Energy Studies, Dehradun-248007 (Uttarakhand), India Abstract The problem of thermosolutal convection in compressible couple-stress fluid in presence of suspended particles is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, the compressibility, couple-stress and stable solute gradient postpone the onset of convection whereas the suspended particles hasten the onset of convection. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The case of overstability is also considered wherein the sufficient conditions for non-existence of overstability are obtained. Keywords: Thermosolutal convection, compressible couple-stress fluid, suspended particles

JoEAM (2014)Š STM Journals 2014. All Rights Reserved


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