An analytical model of a curved beam with a T shaped cross section

2018 ◽  
Vol 416 ◽  
pp. 29-54 ◽  
Author(s):  
Andrew J. Hull ◽  
Daniel Perez ◽  
Donald L. Cox
Keyword(s):  
Analytical Model ◽  
Cross Section ◽  
Curved Beam ◽  
Shaped Cross Section

NONLINEAR ANALYSIS OF A BARBELL-SHAPED CROSS SECTION WALL USING FIBER SLICE

2014 ◽  
Vol 1 (1) ◽  
Author(s):  
Dae-Han Jun ◽  
Pyeong-Doo Kang
Keyword(s):  
Reinforced Concrete ◽  
Analytical Model ◽  
Cross Section ◽  
Cross Sections ◽  
Axial Load ◽  
Nonlinear Response ◽  
Shear Walls ◽  
Lateral Loads ◽  
Fiber Element ◽  
Shaped Cross Section

Reinforced concrete shear walls are effective for resisting lateral loads imposed by wind or earthquakes. This study investigates the effectiveness of a wall fiber element in predicting the flexural nonlinear response of reinforced concrete shear walls. Model results are compared with experimental results for reinforced concrete shear walls with barbell-shaped cross sections without axial load. The analytical model is calibrated and the test measurements are processed to allow for a direct comparison of the predicted and measured flexural responses. Response results are compared at top displacements on the walls. Results obtained in the analytical model for barbell-shaped cross section wall compared favorably with experimentally responses for flexural capacity, stiffness, and deformability.

scholarly journals A High-Frequency Model of a Rectilinear Beam with a T-Shaped Cross Section

Acoustics ◽  
2019 ◽  
Vol 1 (3) ◽  
pp. 726-748
Author(s):  
Andrew J. Hull ◽  
Daniel Perez ◽  
Donald L. Cox
Keyword(s):  
Finite Element ◽  
Wave Propagation ◽  
Analytical Model ◽  
Cross Section ◽  
Timoshenko Beam ◽  
High Frequency ◽  
Plane Motion ◽  
Beam Model ◽  
Frequency Range ◽  
Shaped Cross Section

This paper derives an analytical model of a straight beam with a T-shaped cross section for use in the high-frequency range, defined here as approximately 1 to 35 kHz. The web, the right part of the flange, and the left part of the flange of the T-beam are modeled independently with two-dimensional elasticity equations for the in-plane motion and Mindlin flexural plate equation for the out-of-plane motion. The differential equations are solved with unknown wave propagation coefficients multiplied by circular spatial domain functions. These algebraic equations are then solved to yield the wave propagation coefficients and thus produce a solution to the displacement field in all three directions. An example problem is formulated and compared with solutions from fully elastic finite element modeling, a previously derived analytical model, and Timoshenko beam theory. It is shown that the accurate frequency range of this new model is significantly higher than that of the analytical model and the Timoshenko beam model, and, in the frequency range up to 35 kHz, the results compare very favorably to those from finite element analysis.

scholarly journals Influence of technical parameters on the structure of annular axis braided preforms

2021 ◽  
Vol 28 (1) ◽  
pp. 160-168
Author(s):  
Xi Wang ◽  
Guoli Zhang ◽  
Xiaoping Shi ◽  
Ce Zhang
Keyword(s):  
Cross Section ◽  
Rotation Speed ◽  
Technical Parameters ◽  
Braiding Angle ◽  
Shaped Cross Section

Abstract A modified vertical braiding machine and closed annular axis mandrels with a special-shaped cross section were used to braid annular axis preforms under four different technical parameters. After measuring the braiding angles and yarn spacing of the braided preform in different areas of the mandrels, it was found that the braiding angle increased by 20.9% and the yarn spacing decreased by 19.8% when the speed of the yarn carrier was doubled. The braiding angle decreased by 31.1% and the yarn spacing increased by 28.6% when the rotation speed of the mandrels was doubled. The results show that the rotation speed of the mandrel has a slightly greater influence on the braiding angle and the yarn spacing. By using the modified braiding machine to braid the annular axis preforms, multi-layer continuous braided preforms can be achieved on compact equipment. And the structure of the annular axis braided preforms can be changed by changing the technical parameters.

scholarly journals Design of an Edge Slotted Waveguide Antenna Array Based on T-Shaped Cross-Section Waveguide

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Teng Li ◽  
Wenbin Dou
Keyword(s):  
Surface Wave ◽  
Antenna Array ◽  
Cross Section ◽  
Mutual Coupling ◽  
Dominant Mode ◽  
Waveguide Structure ◽  
Center Frequency ◽  
Sidelobe Level ◽  
Slotted Waveguide ◽  
Shaped Cross Section

An edge slotted waveguide antenna array based on T-shaped cross-section radiating waveguide is proposed. The T-shaped waveguide is analyzed and designed to operate in dominant mode around the center frequency, which has a lower profile compared with the rectangular one. The radiating slots are etched and rotated alternatively on the broadened top plate without cutting into the adjacent walls. The metal fences are inserted between slots to reduce the mutual coupling and surface wave. Therefore, the sidelobe level in E-plane is well suppressed. A 2 × 8 antenna array working at Ka-band is designed and fabricated. The measured results agree well with simulations which demonstrate this novel waveguide structure.

Pseudo-analytical model for calculation of flat circular inductors with rectangular cross-section

2018 ◽  
Vol 78 ◽  
pp. 46-53 ◽  
Author(s):  
Pedro Luis Ferrer Penalver ◽  
Carmen Leticia Crespillo Torriente ◽  
Edmundo da Silva Braga ◽  
Marco Antonio Robert Alves ◽  
Paulo Henrique Roesler ◽  
...  
Keyword(s):  
Analytical Model ◽  
Cross Section ◽  
Rectangular Cross Section

scholarly journals Structure of the Balmer jump

2018 ◽  
Vol 613 ◽  
pp. A55
Author(s):  
F. Calvo ◽  
L. Belluzzi ◽  
O. Steiner
Keyword(s):  
Hydrogen Atom ◽  
Absorption Coefficient ◽  
Total Cross Section ◽  
Analytical Model ◽  
Cross Section ◽  
Quantum Structure ◽  
Balmer Series ◽  
Polarization Phenomena ◽  
Definition Of ◽  
Rapid Drop

Context.The spectrum of the hydrogen atom was explained by Bohr more than one century ago. We revisit here some of the aspects of the underlying quantum structure, with a modern formalism, focusing on the limit of the Balmer series.Aims.We investigate the behaviour of the absorption coefficient of the isolated hydrogen atom in the neighbourhood of the Balmer limit.Methods.We analytically computed the total cross-section arising from bound-bound and bound-free transitions in the isolated hydrogen atom at the Balmer limit, and established a simplified semi-analytical model for the surroundings of that limit. We worked within the framework of the formalism of Landi Degl’Innocenti & Landolfi (2004, Astrophys. Space Sci. Lib., 307), which permits an almost straight-forward generalization of our results to other atoms and molecules, and which is perfectly suitable for including polarization phenomena in the problem.Results.We analytically show that there is no discontinuity at the Balmer limit, even though the concept of a “Balmer jump” is still meaningful. Furthermore, we give a possible definition of the location of the Balmer jump, and we check that this location is dependent on the broadening mechanisms. At the Balmer limit, we compute the cross-section in a fully analytical way.Conclusions.The Balmer jump is produced by a rapid drop of the total Balmer cross-section, yet this variation is smooth and continuous when both bound-bound and bound-free processes are taken into account, and its shape and location is dependent on the broadening mechanisms.

Response and Stability of Square Tubes Under Bending

1997 ◽  
Vol 64 (3) ◽  
pp. 649-657 ◽  
Author(s):  
S. P. Vaze ◽  
E. Corona
Keyword(s):  
Analytical Model ◽  
Cross Section ◽  
Thickness Ratio ◽  
Pure Bending ◽  
Steel Tubes ◽  
Elastic Plastic ◽  
Plastic Steel

This paper addresses the response and stability of elastic-plastic steel tubes with square cross section under pure bending. An analytical model with sufficiently nonlinear kinematics to capture the development of ripples in the compression flange was developed. the results indicate that collapse of such tubes is imperfection sensitive for tubes with “high” height-to-thickness ratio (h/t), but the sensitivity decreases as h/t decreases. Experimentally, the tubes collapse due to a limit moment instability which is followed by the formation of a kink on the compression flange of the tubes. The limit moment and the development of the kink are captured well by the analytical model.

scholarly journals Feasibility Study on the Wave-Control Method using Navigation Channel with V-Shaped Cross Section

2007 ◽  
Vol 54 ◽  
pp. 771-775
Author(s):  
Osamu KUNITA ◽  
Masatoshi YUHI ◽  
Junichi YAMAZAKI ◽  
Shinya KOTAKI ◽  
Hajime ISHIDA
Keyword(s):  
Cross Section ◽  
Feasibility Study ◽  
Control Method ◽  
Navigation Channel ◽  
Shaped Cross Section ◽  
Wave Control
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