An engineering theory of thick curved beam loaded in-plane and out-of-plane: 3D stress analysis

2021 ◽  
pp. 104484
Author(s):  
Christian Iandiorio ◽  
Pietro Salvini
Keyword(s):  
Stress Analysis ◽  
Curved Beam ◽  
Engineering Theory ◽  
Out Of Plane

scholarly journals Design of a Depth Control Mechanism for an Anguilliform Swimming Robot

Biomimetics ◽  
2021 ◽  
Vol 6 (2) ◽  
pp. 39
Author(s):  
Ahmed Islam ◽  
Brandon Taravella
Keyword(s):  
Stress Analysis ◽  
Control Mechanism ◽  
Critical Part ◽  
Design And Implementation ◽  
Depth Control ◽  
Out Of Plane ◽  
Buoyancy Control

This paper discusses the design and implementation of a depth control mechanism for an anguilliform swimming robot. Researchers analyzed three different methods of controlling the depth of the robot, including out-of-plane thrust direction, use of foil on the head and buoyancy control at the head and tail. It was determined that buoyancy control at the head and tail was the best method for controlling depth and pitch, given typical forward speeds of the robot. Details are given into the design of this mechanism, including a stress analysis on a critical part, as well as the impacts that these modifications have on the required torque of the drive servos.

scholarly journals A General Fourier Formulation for In-Plane and Out-of-Plane Vibration Analysis of Curved Beams

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Rui Nie ◽  
Tianyun Li ◽  
Xiang Zhu ◽  
Huihui Zhou
Keyword(s):  
Potential Energy ◽  
Boundary Conditions ◽  
Calculation Model ◽  
Displacement Function ◽  
Curved Beam ◽  
Curved Beams ◽  
Concentrated Mass ◽  
Engineering Structures ◽  
Beam Structures ◽  
Out Of Plane

Based on the principle of energy variation, an improved Fourier series is introduced as an allowable displacement function. This paper constructs a calculation model that can study the in-plane and out-of-plane free and forced vibrations of curved beam structures under different boundary conditions. Firstly, based on the generalized shell theory, considering the shear and inertial effects of curved beam structures, as well as the coupling effects of displacement components, the kinetic energy and strain potential energy of the curved beam are obtained. Subsequently, an artificial spring system is introduced to satisfy the constraint condition of the displacement at the boundary of the curved beam, obtain its elastic potential energy, and add it to the system energy functional. Any concentrated mass point or concentrated external load can also be added to the energy function of the entire system with a corresponding energy term. In various situations including classical boundary conditions, the accuracy and efficiency of the method in this paper are proved by comparing with the calculation results of FEM. Besides, by accurately calculating the vibration characteristics of common engineering structures like slow curvature (whirl line), the wide application prospects of this method are shown.

scholarly journals Out-of-Plane Free Vibration and Forced Harmonic Response of a Curved Beam

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Hancheng Mao ◽  
Guangbin Yu ◽  
Wei Liu ◽  
Tiantian Xu
Keyword(s):  
Free Vibration ◽  
Natural Frequencies ◽  
Amplitude Ratio ◽  
Harmonic Wave ◽  
Wave Number ◽  
Curved Beam ◽  
Curved Beams ◽  
Propagation Behavior ◽  
Out Of Plane ◽  
Governing Differential Equation

Based on the governing differential equation of out-of-plane curved beam, the wave propagation behavior, free vibration, and transmission properties are presented theoretically in this paper. Firstly, harmonic wave solutions are given to investigate the dispersion relation between frequency and wave number, cut-off frequency, displacement, amplitude ratio, and phase diagram. The frequency spectrum results are obtained to verify the work by Kang and Lee. Furthermore, natural frequencies of the single and composite curved beam are calculated through solving the characteristic equation in the case of free-free, clamped-clamped, and free-clamped boundaries. Finally, the transfer matrices of the out-of-plane curved beam are derived by combining the continuity between the different interfaces. The transmissibility curves of the single and composite curved beam are compared to find the vibration attention band. This work will be valuable to extend the study of the out-of-plane vibration of curved beams.

New anisoparametric 3-node elements for out-of-plane deformable curved beam

2000 ◽  
Vol 14 (3) ◽  
pp. 272-282
Author(s):  
Kim Moon-joon ◽  
Min Oak-key ◽  
Kim Yong-woo ◽  
Moon Won-joo
Keyword(s):  
Curved Beam ◽  
Out Of Plane
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