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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
__________________________________________________________________________________________ 
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 550 
MULTIBODY DYNAMIC ANALYSIS OF MECHANISM FOR HEALTH EXCESCISE VIBRATOR Rajashekar M1, Ashok2, Anita3 1Assistant Professor, Department of Mechanical Engineering, BKIT, Bhalki-585328, Karnataka, India 2Project Group, Department of Mechanical Engineering, BKIT, Bhalki-585328, Karnataka, India 3Project Group, Department of Mechanical Engineering, BKIT, Bhalki-585328, Karnataka, India Abstract In this paper health exercise vibrator mechanism is designed for specific performance of exercise. The three dimensional conceptual model has developed first in CATIA V5. Later kinematics motions were verified using CATIA and also using ADAMS software. By using the ADAMS, the dynamic parameters of three-body vibrating mechanism are analyzed and the simple finite element model is established on the basis of these parameters in ANSYS. The main focus of this paper is to analyze behavior of mechanism in different loading conditions and also results are verified by manual equations. A good design of mechanism must be effectively. The mechanism shall not work effectively but also be reliable in its strength and durability yet not over-design. In order to optimize analysis for exercise mechanism, first we need to simulate the Multibody dynamics analysis for load and stress predictions. Therefore In this paper, we introduce methodology to simulate and analysis the whole contact range of health exercise mechanism Multibody dynamics analysis by using ADAMS, ANSYS14 and CATIA V 5. Keywords: CAD model, FEA, Vibrator Mechanism, MBD, ADAMS, CATIA, ANSYS. 
----------------------------------------------------------------------***------------------------------------------------------------------------ 1. INTRODUCTION The mechanism is used to convert rotary motion of electric motor to sliding motion of the mechanism. Due to that sliding motion of the mechanism whole body of man starts vibrating and any person doing exercise feel comfort. During the actual working different stresses are induced in links, main body that can be analyzed by using ANSYS 14 software and basically model has prepared by using CATIA V5 Software and also results are verified by using ADAMS software [ref.3] By ADAMS software we get different forces on different joints and different links. Also weight of the mechanism and different stresses on the mechanism we get by ANSYS 14. 2. MODELING 
Fig 1.Catia V5 Assembly model 
This model has prepared by using CATIA V5 software .It consist of main body having an adjustment for doing exercise and also external motion is applied to it.link is joined with main body by revolute joint and it has joined with base which is fixed. During the modeling in CATIA V5 we used different tools like part design, assembly design. 
Fig 2 Catia V5 model with Dimensions
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
__________________________________________________________________________________________ 
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 551 
3. MATERIALS The material used for this mechanism is Aluminum alloy. The results we get by ANSYS14 and also we are verifying by analytical equations. Table-1: Constituent of Al2219 in Weight % 
4. ANALYSIS BY ANSYS In Ansys workbench we imported file from CATIA V5 in STP. Format for analysis of Mechanisms. Got different results by applying boundry conditions, material properties and meshing conditions for improved results. As shown in figures below. Table 2 Geometry variables 
During the analysis this model has been imported from CATIA V5 stp format to ANSYS14.We applied material properties to this model that’s Aluminum and also 25kg load is applied on main body which having support to do exercise. 
We get different results like weight of mechanism, principal stresses, vonmisses stress, strains, and deformations .By this results we will easily understand the actual behavior of mechanism. 
The messing model in ANSYS14 shown in following figure 
Fig 3.Meshed assembly in Ansys Figure no.2 shows the meshing elements .In messing the whole mechanism is divided in to number of small parts. Due to that we get accurate results. Table 3 Node & Elements for FEA 
Von misses stresses induced in this mechanism as shown in this figure below. 
Fig.4 Von-misses stresses
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
__________________________________________________________________________________________ 
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 552 
Fig.5 Normal elastic strain Table 4 Real Constants for FEA 
5. ANALYSIS BY ADAMS ADAMS stands for Automatic Dynamic Analysis of Mechanical Systems and was originally developed by Mechanical Dynamics Inc.(MDI). MDI was formed by researchers/developers of the original ADAMS code at University of Michigan, Ann Arbor, MI, USA. Later on, it was absorbed into McNeil Schindler Corp (MSC) in 2002.[ref.5]During the normal operation under 25kg of wait the different joints carries different loads during the normal operation with time .With the variation of time joints carries different loads. Has is shown in figure. 
Fig.6.Forces acts on joints in different time in sec. 
Fig.7 Forces acts on joints in different time in sec. 6. MATHEMATICAL CALCULATION 
Fig.8 Forces acts on joints Different variables a=angular acceleration of link, a cm=Linear accretion of link=mass of the link, Fp=motor force, Cm=moment of inertia,T=Torque of the motor Initially we are giving motion to left link
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
__________________________________________________________________________________________ 
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 553 
ΣFx=MAx Fx-Rx=MAx Fx=Rx+MAx--------------(1) ΣFy=MAy Fy-Ry=MAy Fy=Ry+May-----------------(2) T+Fxr1-Fyr2+Rxr1-Ryr2=Ia`---------------(3) By solving these three equation we get matrix representation. In this equations Rx and Ry values we will get by external torque applied due to motor but Fx and Fy are the unknowns we get by matrix representation. 
1 0 0 Fx Rx+MAx 0 1 0 Fy = Ry+May r1 -r2 1 T Ia-Rxr1+Ry Rx and Ry are the perpendicular distance we get . Example Fp is the external force due to motor Fp acts 50N @ 90 (i.e.angle between horizontal surface and Link) 
Fig.8 Forces at 90 Then Fx=cos0*50=50N Fy=cos90*50=0N On this basis we can calculate all forces are acting on machine frame 7. CONCLUSIONS Analysis and simulation of health exercise vibrator by using Adams12 ANSYS14 and CATIAv5 was really very useful in analyzing multi body problem. In actual cases, most of the problems involve multi body system. Using these tool, engineers can evaluate virtual prototypes of complex physical problem and optimize designs for performance, safety and comfort, without the inevitable time-scale and cost risks in building and testing physical prototypes. Therefore, based on this paper, it is recommended to use above said softwares for designing and validating innovative products. 
ACKNOWLEDGEMENTS 
We express our first and fore most pranamas to his Holiness Dr.Channabasava Pattadevaru. President, SVES. The authors acknowledge with thanks to Principal Dr.Bipin Bihari Lal who made this Endeavour possible and also express our gratitude and indebtedness to Bheemanna Khandre Institute of Technology, BHALKI for providing us an opportunity to undergo research work successfully. REFERENCES [1]. Dr R. P. Sharma *; Chikesh ranjan *”Modeling and Simulation of Four-Bar Planar mechanisms Using Adams”,IJMET, Volume 4, Issue 2, (2013), pp. 429-435 [2]. Retheesh Kumar,Akash Mohanty, “ Design, Synthesis And Simulation Of Four Bar Mechanism For Eliminate The Plowing Depth Fluctuations In Tractors” IJERA Vol. 3, Issue 3, 2013, pp.953-956 [3]. Ryan, R.R., “ADAMS multibody system analysis software”, MDI Technical Publications, Vol. 2, 1989. [4]. TALABĂ, D., BATOG, I., “A method to Represent the Rigid Bodies Orientation for Multibody Systems Analysis”, International Computer Science Conference microCAD ’97”, Miscolc, 1997, Section L, pp. 9-13. [5]. VOLTERRA, E., ZACHMANOGLOU, E. C., “Dynamics of Vibrations”, Charles E. Merrill Books, Inc., Columbus, Ohio, 1965

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  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 550 MULTIBODY DYNAMIC ANALYSIS OF MECHANISM FOR HEALTH EXCESCISE VIBRATOR Rajashekar M1, Ashok2, Anita3 1Assistant Professor, Department of Mechanical Engineering, BKIT, Bhalki-585328, Karnataka, India 2Project Group, Department of Mechanical Engineering, BKIT, Bhalki-585328, Karnataka, India 3Project Group, Department of Mechanical Engineering, BKIT, Bhalki-585328, Karnataka, India Abstract In this paper health exercise vibrator mechanism is designed for specific performance of exercise. The three dimensional conceptual model has developed first in CATIA V5. Later kinematics motions were verified using CATIA and also using ADAMS software. By using the ADAMS, the dynamic parameters of three-body vibrating mechanism are analyzed and the simple finite element model is established on the basis of these parameters in ANSYS. The main focus of this paper is to analyze behavior of mechanism in different loading conditions and also results are verified by manual equations. A good design of mechanism must be effectively. The mechanism shall not work effectively but also be reliable in its strength and durability yet not over-design. In order to optimize analysis for exercise mechanism, first we need to simulate the Multibody dynamics analysis for load and stress predictions. Therefore In this paper, we introduce methodology to simulate and analysis the whole contact range of health exercise mechanism Multibody dynamics analysis by using ADAMS, ANSYS14 and CATIA V 5. Keywords: CAD model, FEA, Vibrator Mechanism, MBD, ADAMS, CATIA, ANSYS. ----------------------------------------------------------------------***------------------------------------------------------------------------ 1. INTRODUCTION The mechanism is used to convert rotary motion of electric motor to sliding motion of the mechanism. Due to that sliding motion of the mechanism whole body of man starts vibrating and any person doing exercise feel comfort. During the actual working different stresses are induced in links, main body that can be analyzed by using ANSYS 14 software and basically model has prepared by using CATIA V5 Software and also results are verified by using ADAMS software [ref.3] By ADAMS software we get different forces on different joints and different links. Also weight of the mechanism and different stresses on the mechanism we get by ANSYS 14. 2. MODELING Fig 1.Catia V5 Assembly model This model has prepared by using CATIA V5 software .It consist of main body having an adjustment for doing exercise and also external motion is applied to it.link is joined with main body by revolute joint and it has joined with base which is fixed. During the modeling in CATIA V5 we used different tools like part design, assembly design. Fig 2 Catia V5 model with Dimensions
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 551 3. MATERIALS The material used for this mechanism is Aluminum alloy. The results we get by ANSYS14 and also we are verifying by analytical equations. Table-1: Constituent of Al2219 in Weight % 4. ANALYSIS BY ANSYS In Ansys workbench we imported file from CATIA V5 in STP. Format for analysis of Mechanisms. Got different results by applying boundry conditions, material properties and meshing conditions for improved results. As shown in figures below. Table 2 Geometry variables During the analysis this model has been imported from CATIA V5 stp format to ANSYS14.We applied material properties to this model that’s Aluminum and also 25kg load is applied on main body which having support to do exercise. We get different results like weight of mechanism, principal stresses, vonmisses stress, strains, and deformations .By this results we will easily understand the actual behavior of mechanism. The messing model in ANSYS14 shown in following figure Fig 3.Meshed assembly in Ansys Figure no.2 shows the meshing elements .In messing the whole mechanism is divided in to number of small parts. Due to that we get accurate results. Table 3 Node & Elements for FEA Von misses stresses induced in this mechanism as shown in this figure below. Fig.4 Von-misses stresses
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 552 Fig.5 Normal elastic strain Table 4 Real Constants for FEA 5. ANALYSIS BY ADAMS ADAMS stands for Automatic Dynamic Analysis of Mechanical Systems and was originally developed by Mechanical Dynamics Inc.(MDI). MDI was formed by researchers/developers of the original ADAMS code at University of Michigan, Ann Arbor, MI, USA. Later on, it was absorbed into McNeil Schindler Corp (MSC) in 2002.[ref.5]During the normal operation under 25kg of wait the different joints carries different loads during the normal operation with time .With the variation of time joints carries different loads. Has is shown in figure. Fig.6.Forces acts on joints in different time in sec. Fig.7 Forces acts on joints in different time in sec. 6. MATHEMATICAL CALCULATION Fig.8 Forces acts on joints Different variables a=angular acceleration of link, a cm=Linear accretion of link=mass of the link, Fp=motor force, Cm=moment of inertia,T=Torque of the motor Initially we are giving motion to left link
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 553 ΣFx=MAx Fx-Rx=MAx Fx=Rx+MAx--------------(1) ΣFy=MAy Fy-Ry=MAy Fy=Ry+May-----------------(2) T+Fxr1-Fyr2+Rxr1-Ryr2=Ia`---------------(3) By solving these three equation we get matrix representation. In this equations Rx and Ry values we will get by external torque applied due to motor but Fx and Fy are the unknowns we get by matrix representation. 1 0 0 Fx Rx+MAx 0 1 0 Fy = Ry+May r1 -r2 1 T Ia-Rxr1+Ry Rx and Ry are the perpendicular distance we get . Example Fp is the external force due to motor Fp acts 50N @ 90 (i.e.angle between horizontal surface and Link) Fig.8 Forces at 90 Then Fx=cos0*50=50N Fy=cos90*50=0N On this basis we can calculate all forces are acting on machine frame 7. CONCLUSIONS Analysis and simulation of health exercise vibrator by using Adams12 ANSYS14 and CATIAv5 was really very useful in analyzing multi body problem. In actual cases, most of the problems involve multi body system. Using these tool, engineers can evaluate virtual prototypes of complex physical problem and optimize designs for performance, safety and comfort, without the inevitable time-scale and cost risks in building and testing physical prototypes. Therefore, based on this paper, it is recommended to use above said softwares for designing and validating innovative products. ACKNOWLEDGEMENTS We express our first and fore most pranamas to his Holiness Dr.Channabasava Pattadevaru. President, SVES. The authors acknowledge with thanks to Principal Dr.Bipin Bihari Lal who made this Endeavour possible and also express our gratitude and indebtedness to Bheemanna Khandre Institute of Technology, BHALKI for providing us an opportunity to undergo research work successfully. REFERENCES [1]. Dr R. P. Sharma *; Chikesh ranjan *”Modeling and Simulation of Four-Bar Planar mechanisms Using Adams”,IJMET, Volume 4, Issue 2, (2013), pp. 429-435 [2]. Retheesh Kumar,Akash Mohanty, “ Design, Synthesis And Simulation Of Four Bar Mechanism For Eliminate The Plowing Depth Fluctuations In Tractors” IJERA Vol. 3, Issue 3, 2013, pp.953-956 [3]. Ryan, R.R., “ADAMS multibody system analysis software”, MDI Technical Publications, Vol. 2, 1989. [4]. TALABĂ, D., BATOG, I., “A method to Represent the Rigid Bodies Orientation for Multibody Systems Analysis”, International Computer Science Conference microCAD ’97”, Miscolc, 1997, Section L, pp. 9-13. [5]. VOLTERRA, E., ZACHMANOGLOU, E. C., “Dynamics of Vibrations”, Charles E. Merrill Books, Inc., Columbus, Ohio, 1965