Analytical solution for nonlinear oscillation of workpiece in turning process

Jalili, Mohammad Mahdi; Emami, H.

doi:10.1177/0954406216650471

Cited by 10 publications

(10 citation statements)

References 21 publications

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“…Using the gyroscopic effects of two gyroscopes, this system can generate control torque to stabilize the vehicle in cases where there is centrifugal force of turning. The stabilization of systems is also studied in articles [5], [12], [15]. The stabilization effect of the gyroscope is also used in the popular personal vehicle called Segway.…”

Section: Resultsmentioning

confidence: 99%

“…Larmor precession in atomism) and astronomy (lunisolar precession of Earth), in technology (e.g. gyroscopic effect in transportation [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. ), in military (stabilization of missiles and bullets) and also in sport (flight disk), in energetics (kinetic energy accumulation by turbines, mechanical batteries).…”

Section: Introductionmentioning

confidence: 99%

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Applications of Gyroscopic Effect in Transportation

Náhlík

Smetanová

2018

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This article describes gyroscopes and their effects in various fields of everyday life. Gyroscopic effect is ability (tendency) of the rotating body to maintain a steady direction of its axis of rotation. The gyroscopes are rotating with respect to the axis of symmetry at high speed. Gyroscopic effect is related to all rotating mechanisms (wheels, gears, shafts, rotors, bicycles, motorcycles, children's toys...). In some cases, we want to enhance the gyroscopic effect (for stabilization, energy accumulation). Stabilization effect is mainly used for two-wheeled vehicles. It can be also used on ships and boats, where big wheel is rotating and preventing the boat to overturn. Gyroscopic effects can help with energy accumulation. The bigger rotating speed is achieved the bigger amount of energy is stored. When the gyroscope is well designed the efficiency can be much higher than in the batteries. In other cases we want to suppress or compensate it (in case of the direction change of the rotating device). This is mainly about the planes. When the pilot of the plane needs to change the heading then during the left turn the plane will go up and during the right turn it goes down. The use of gyroscopes is important in various modes of transportation. We describe different usage of gyroscopes in transport and logistics, especially gyrocompass (ships and planes-advantages: no influence by ferromagnetic materials, heading to the true North, disadvantages: errors caused by rapid changes in course, speed and latitude); attitude and heading indicators (plane); pendulous integrating gyroscopic accelerometer (rocketry); gyrostat-control moment gyroscope (space-stations, satellites and probes); MEMS gyroscope (automotive, entertainment, robots, etc.).

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Applications of Gyroscopic Effect in Transportation

Náhlík

Smetanová

2018

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“…(18) into Eqs. (16) and (17) and considering P 0i = 3 P 0i and equating coefficients of like powers of , we obtain (14)…”

Section: Primary Resonancesmentioning

confidence: 99%

“…They used multiple scales method (MMS) to analytically derive frequency response of the system in primary, secondary and combinational resonance conditions. MMS has also been used in other nonlinear multi-degree of freedom systems such as nonlinear chatter vibration [17][18][19] and rail vibration under railway vehicle excitation [20].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of a circular plate–cavity system

Anvariyeh

Jalili

Fotuhi

2019

J Braz. Soc. Mech. Sci. Eng.

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Vibration of plate with air cavity has been one of the interesting research fields by many researchers. This topic has many applications in vehicles, airplanes, aircraft, fuselage panels and buildings. In this study, nonlinear vibroacoustic of circular plate with air cavity under harmonic excitation is investigated. The von Karman theory is used to obtain plate equation and solved together with the air pressure equation. First, the nonlinear equation of the plate is converted to ordinary differential equations by using the Galerkin method. Then the method of multiple scales is employed to solve the corresponding nonlinear equations. Frequency response for primary, subharmonic and superharmonic resonances is studied analytically. Using this method, a parametric study is carried out and the effects of different parameters on the frequency response of the plate are investigated. According to the results, jump phenomena are observed for primary and superharmonic resonance cases. Also, with an increase in damping coefficient, the amplitude of the steady-state response increases in the subharmonic resonance case.

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“…Using the method of multiple scales (MMS), Zafari et al [17] presented an analytical approach to analyze the nonlinear flutter responses of a wing under a transverse follower force. MMS has also been used in the other nonlinear multi-degree of freedom systems such as nonlinear chatter vibration [18][19][20], nonlinear vibration of micro structures [21] and nonlinear vibroacoustic problems [22].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear forced vibration analysis of aircraft wings with rotating unbalanced mass of the propeller system

Zafari

Jalili

Mazidi

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, the aeroelastic response of a wing containing a propeller system with rotating unbalanced mass is presented. Nonlinear structural model of the wing carrying a propeller system is extracted and coupled with an incompressible unsteady aerodynamic model. The governing equations and boundary conditions are determined via Hamilton's variational principle. Galerkin's approach is used to transfer the resulting partial differential equation into ordinary nonlinear differential equations. Using the method of multiple scales, frequency response function of the system in different primary resonance cases is obtained analytically and the flutter occurrence possibility in each case is investigated. According to the results, jump phenomenon can be observed in each two primary resonance cases. Also, for the case of non-resonant excitation, the stability of the system is independent of the rotating unbalanced mass parameter.

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Analytical solution for nonlinear oscillation of workpiece in turning process

Cited by 10 publications

References 21 publications

Applications of Gyroscopic Effect in Transportation

Applications of Gyroscopic Effect in Transportation

Nonlinear vibration analysis of a circular plate–cavity system

Nonlinear forced vibration analysis of aircraft wings with rotating unbalanced mass of the propeller system

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