A Shear-Flexible Beam Element for Linear Analysis of Unsymmetrically Laminated Beams

Author(s):  
Vijay Goyal ◽  
Rakesh Kapania
Author(s):  
Riki Iwai ◽  
Nobuyuki Kobayashi

This paper establishes a new type component mode synthesis method for a flexible beam element based on the absolute nodal coordinate formulation. The deformation of the beam element is defined as the sum of the global shape function and the analytical clamped-clamped beam modes. This formulation leads to a constant and symmetric mass matrix as the conventional absolute nodal coordinate formulation, and makes it possible to reduce the system coordinates of the beam structure which undergoes large rotations and large deformations. Numerical examples show that the excellent agreements are examined between the presented formulation and the conventional absolute nodal coordinate formulation. These results demonstrate that the presented formulation has high accuracy in the sense that the presented solutions are similar to the conventional ones with the less system coordinates and high efficiency in computation.


Author(s):  
J. Iragorry ◽  
Y.-X. Tao

In frost growth control on finned surfaces, the most important frost properties are thickness and density. As shown in previous work, the frost thickness can be related to the temperature difference between frost surface and the fin or tube. The frost temperature can be obtained by using an infrared thermometer. A frost density sensor is designed. A set of strain gages are installed in a flexible beam element (HDPE), which deflection caused by frost accretion is related to the change in frost density. A prototype of the sensor is tested for distributed frost weight and for artificial probe tip-loads. The relation between the sensor signal and frost weight is obtained for the cases studied. The combination of frost top temperature and weight variation signals can be used to control the defrost process.


2013 ◽  
Vol 550 ◽  
pp. 33-40
Author(s):  
Djamel Bensahal ◽  
Mohamed Nadir Amrane ◽  
Mounir Kharoubi

The paper presents an analysis of the damping of laminated beams with four different stacking sequences. The experimental investigation was conducted using tensile cyclic tests for different laminates studied. The impulse technique was chosen to perform modal analysis of the ease of implementation and quickness of the test. The numerical analysis is performed by the finite element method using beam element. The difference between strain energies for both cases damaged and undamaged are calculated by the finite element method. The structural damping of the different beams is evaluated from these energies. The decrease in frequency for different rates of loading shows the loss of stiffness for all materials studied.


2014 ◽  
Vol 638-640 ◽  
pp. 1024-1027
Author(s):  
Jun Feng Guo

Wuhan Tianxingzhou Yangtze River Rail-cum-Road Bridge is the first four line rail cable-stayed bridge in china, with three-truss cross section. The new structure presents complex load performance, especially the spatial mechanical characteristics, because the bridge supports six lanes and four railway load, inevitably the main truss will produce a great torque, leading to three-truss cross section distortion and warping deformation. Analysis of the whole bridge spatial structures is carried out. The space shear flexible beam grillage model is used for bridge structure simulation, the upper and lower vertical member and the horizontal link simulated with beam element, while the pylon with space beam element, the cable with cable element. Though the calculation of the cable force and stress, the main girders stress, the pylon stress, the displacement of the main girder and the pylon, it can be shown that the space force and displacement keep within the standard requirement.


Author(s):  
Tsubasa Wago ◽  
Nobuyuki Kobayashi ◽  
Yoshiki Sugawara

This paper presents an improved formulation of axial elastic force in three-dimensional Bernoulli-Euler beam element based on the absolute nodal coordinate formulation. An accurate measure of mean axial strain for evaluating the axial elastic forces characterizes the presented formulation. The presented formulation evaluates the mean axial strain accurately by calculating the length of deformed beam element along its neutral axis. A comparison of the conventional formulations of the axial elastic force and the presented formulation is performed in some numerical examples which contain large bending deformation of flexible beam. As a result, it is verified that the presented formulation can express large deformation accurately with smaller number of elements than the conventional formulation which calculates the mean axial strain with straight-line distance between both element nodes. Moreover, it is also verified that the presented formulation can avoid excessive increase in computing time to simulate the dynamic behavior of flexible beam.


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