The Effect of a Moving Mass and Other Parameters on the Dynamic Response of a Simply Supported Beam

Michaltsos, George T.; Sophianopoulos, Dimitrios S.; Kounadis, A. N.

doi:10.1006/jsvi.1996.0127

Cited by 146 publications

(69 citation statements)

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“…that is associated with the increase in projectile mass. A similar relationship was observed in the studies Esen (2011), Michaltsos et al (1996) and Michaltsos and Kounadis (2001). This can be an expected result that any increase in the mass, increases both inertial and gravitational forces.…”

Section: The Effect Of the Coriolis Force On The Barrel Vibrationssupporting

confidence: 87%

“…The effect of a variable velocity load on structures is also significant, and some researchers (Lee, 1996b;Michaltsos, 2002;Wang, 2009;Dyniewicz and Bajer, 2012) have studied the dynamic behaviour of beams under accelerated masses. Inertia effects of the moving mass continue to be a point of interest for bridge dynamics, railroad design and other high-velocity delicate motion processes and some others (Michaltsos et al, 1996;Michaltsos and Kounadis, 2001;Dehestani et al, 2009) have studied the inertial effects of moving masses. The importance of computerized solution of moving mass problems has increased via the usage of computers, and the study (Bulut and Kelesoglu, 2010) has compared numerical methods for response of beams, and another one (Nikkhoo et al, 2007) has studied the modal control of beams under the effect of a travelling mass.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic response of a 120 mm smoothbore tank barrel during horizontal and inclined firing positions

Esen

Koç

2015

Lat. Am. j. solids struct.

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In this study, the dynamic interaction between a 120 mm smoothbore tank barrel modeled as an Euler-Bernoulli cantilever beam and an accelerating projectile during firing is presented. The interaction was modelled using a new FEM approach that took into account the projectile's inertia, Coriolis, and centripetal forces and the horizontal and inclined positions of the barrel. The mass, exit velocity and acceleration effects of the projectile on the dynamics of the barrel were investigated. The effects of the projectile's inertia, and Coriolis and centripetal forces were evaluated as well. Furthermore, the tip displacements at different firing angles were determined by transferring the mass, stiffness and damping matrices of the barrel with the addition of the instantaneous property matrices of the projectile from a local coordinate to the global Cartesian coordinate with the aid of transformation matrices. Finally, the barrel vibrations caused by the successive firings were evaluated under different firing scenarios. To demonstrate the validity of the current study, comparisons were made with the results of previous studies and a good agreement was achieved. By using the method recommended in this study, it is possible to determine the accurate dynamic behavior of any barrel with sufficient sensitivity, without any costly or time-consuming tests being necessary.

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Section: The Effect Of the Coriolis Force On The Barrel Vibrationssupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Dynamic response of a 120 mm smoothbore tank barrel during horizontal and inclined firing positions

Esen

Koç

2015

Lat. Am. j. solids struct.

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“…The effects of moving loads on the dynamics of the structures have been widely studied in literature, for example, (Dehestani et al, 2009;Lee, 1996;Michaltsos, 2002;Niaz and Nikkhoo, 2015;Omolofe and Oni, 2015;Wang, 2009) have investigated the subject. For the application to the bridge engineering (Michaltsos et al, 1996) have studied the effect of accelerating vehicles on the bridge beams, considering highway bridges and high speed rail road construction. Some more accurate tools of engineering calculations of the dynamic interaction using FEM have been proposed by (Esen, 2011(Esen, , 2015(Esen, , 2013Kahya, 2012) .…”

Section: Introductionmentioning

confidence: 99%

Tip Deflection Determination of a Barrel for the Effect of an Accelerating Projectile Before Firing Using Finite Element and Artificial Neural Network Combined Algorithm

Koç

Esen

Çay

2016

Lat. Am. j. solids struct.

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For realistic applications, design and control engineers have limited modelling options in dealing with some vibration problems that hold many nonlinearity such as non-uniform geometry, variable velocity loadings, indefinite damping cases, etc. For these reasons numerous time consuming experimental studies at high costs must be done for determining the actual behaviour such nonlinear systems. However, using advantages of multiple computational methods like Finite Element Method (FEM) together with an Artificial Intelligence (ANN), many complicated engineering problems can be handled and solved to some extent. This study, proposes a new collective method to deal with the nonlinear vibrations of the barrels in order to fulfil accurate shooting expectancy. Using known analytical methods, in practical, to determine dynamic behaviour of the barrel beam is not possible for all conditions of firing that include numerous varieties of ammunition for different purposes, and each projectile of different ammunition has different mass and exit velocity. In order to cover all cases this study proposes a new method that combines a precise FEM with ANN, and can be used for determining the exact dynamic behaviour of a barrel for some cases and then for precisely predicting the behaviour for all other possible cases of firing. In this study, the whole nonlinear behaviour of an antiaircraft barrel were obtained with 3.5% accuracy errors by ANN trained by FEM using calculated analysis results of ammunitions for a particular range. The proposed FEM-ANN combined method can be very useful for design and control engineers in design and control of barrels in order to compensate the effect of nonlinear vibrations of a barrel for achieving a higher shooting accuracy; and can reduce high-cost experimental works.

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“…A dynamic Green function approach is used to determine the response of a finite length simply supported Euler-Bernoulli beam subjected to a moving load in [3] and the authors proposed a simple matrix expression for the deflection of the beam. In [4], the effect of a moving mass on the dynamic behavior of a simply supported Euler-Bernoulli beam was studied. The linear finite element analysis was used to investigate dynamic behavior of a simply supported Euler-Bernoulli beam under the act of moving loads by [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of an Inclined Timoshenko Beam Subjected to a Moving Mass/Force with Beam’s Weight Included

Mamandi

Kargarnovin

2011

Shock and Vibration

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Abstract. In this study, the nonlinear vibrations analysis of an inclined pinned-pinned self-weight Timoshenko beam made of linear, homogenous and isotropic material with a constant cross section and finite length subjected to a traveling mass/force with constant velocity is investigated. The nonlinear coupled partial differential equations of motion for the rotation of warped cross-section, longitudinal and transverse displacements are derived using the Hamilton's principle. These nonlinear coupled PDEs are solved by applying the Galerkin's method to obtain dynamic responses of the beam. The dynamic magnification factor and normalized time histories of mid-point of the beam are obtained for various load velocity ratios and the outcome results have been compared to the results with those obtained from linear solution. The influence of the large deflections caused by a stretching effect due to the beam's fixed ends is captured. It was seen that existence of quadratic-cubic nonlinear terms in the nonlinear governing coupled PDEs of motion causes stiffening (hardening) behavior of the dynamic responses of the self-weight beam under the act of a traveling mass as well as equivalent concentrated moving force. Furthermore, in a case where the object leaves the beam, its planar motion path is derived and the targeting accuracy is investigated and compared with those from the rigid solution assumption.

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The Effect of a Moving Mass and Other Parameters on the Dynamic Response of a Simply Supported Beam

Cited by 146 publications

References 0 publications

Dynamic response of a 120 mm smoothbore tank barrel during horizontal and inclined firing positions

Dynamic response of a 120 mm smoothbore tank barrel during horizontal and inclined firing positions

Tip Deflection Determination of a Barrel for the Effect of an Accelerating Projectile Before Firing Using Finite Element and Artificial Neural Network Combined Algorithm

Nonlinear Dynamic Analysis of an Inclined Timoshenko Beam Subjected to a Moving Mass/Force with Beam’s Weight Included

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