Definition of warping modes within the context of a higher order thin-walled beam model

2015 ◽  
Vol 147 ◽  
pp. 68-78 ◽  
Author(s):  
R.F. Vieira ◽  
F.B.E. Virtuoso ◽  
E.B.R. Pereira
Keyword(s):  
Higher Order ◽  
Beam Model ◽  
Thin Walled ◽  
Definition Of

Buckling of thin-walled structures through a higher order beam model

2017 ◽  
Vol 180 ◽  
pp. 104-116 ◽  
Author(s):  
R.F. Vieira ◽  
F.B.E. Virtuoso ◽  
E.B.R. Pereira
Keyword(s):  
Higher Order ◽  
Beam Model ◽  
Thin Walled Structures ◽  
Thin Walled

A higher order thin-walled beam model including warping and shear modes

2013 ◽  
Vol 66 ◽  
pp. 67-82 ◽  
Author(s):  
R.F. Vieira ◽  
F.B.E. Virtuoso ◽  
E.B.R. Pereira
Keyword(s):  
Higher Order ◽  
Beam Model ◽  
Shear Modes ◽  
Thin Walled

scholarly journals A Simplified Approach to Identify Sectional Deformation Modes of Thin-Walled Beams with Prismatic Cross-Sections

2018 ◽  
Vol 8 (10) ◽  
pp. 1847 ◽  
Author(s):  
Lei Zhang ◽  
Weidong Zhu ◽  
Aimin Ji ◽  
Liping Peng
Keyword(s):  
Cross Sections ◽  
Three Dimensional ◽  
Higher Order ◽  
Basis Functions ◽  
Beam Model ◽  
Linear Superposition ◽  
Simplified Approach ◽  
Thin Walled Structures ◽  
Thin Walled ◽  
Deformation Modes

In this paper, a simplified approach to identify sectional deformation modes of prismatic cross-sections is presented and utilized in the establishment of a higher-order beam model for the dynamic analyses of thin-walled structures. The model considers the displacement field through a linear superposition of a set of basis functions whose amplitudes vary along the beam axis. These basis functions, which describe basis deformation modes, are approximated from nodal displacements on the discretized cross-section midline, with interpolation polynomials. Their amplitudes acting in the object vibration shapes are extracted through a modal analysis. A procedure similar to combining like terms is then implemented to superpose basis deformation modes, with equal or opposite amplitude, to produce primary deformation modes. The final set of the sectional deformation modes are assembled with primary deformation modes, excluding the ones constituting conventional modes. The derived sectional deformation modes, hierarchically organized and physically meaningful, are used to update the basis functions in the higher-order beam model. Numerical examples have also been presented and the comparison with ANSYS shell model showed its accuracy, efficiency, and applicability in reproducing three-dimensional behaviors of thin-walled structures.

scholarly journals Investigation of failure initiation in curved composite laminates using a higher-order beam model

2017 ◽  
Vol 168 ◽  
pp. 143-152 ◽  
Author(s):  
C. Thurnherr ◽  
R.M.J. Groh ◽  
P. Ermanni ◽  
P.M. Weaver
Keyword(s):  
Composite Laminates ◽  
Higher Order ◽  
Beam Model ◽  
Failure Initiation

Static and Dynamic Validations of a Refined Thin-Walled Composite Beam Model

AIAA Journal ◽  
2001 ◽  
Vol 39 (12) ◽  
pp. 2422-2424 ◽  
Author(s):  
Zhanming Qin ◽  
Liviu Librescu
Keyword(s):  
Composite Beam ◽  
Beam Model ◽  
Thin Walled

scholarly journals Effect of Slam Force Duration on the Vibratory Response of a Lightweight High-Speed Wave-Piercing Catamaran

2015 ◽  
Vol 59 (02) ◽  
pp. 69-84
Author(s):  
Jason John McVicar ◽  
Jason Lavroff ◽  
Michael Richard Davis ◽  
Giles Thomas
Keyword(s):  
High Speed ◽  
Bending Strength ◽  
Experimental Studies ◽  
Bending Moment ◽  
Higher Order ◽  
Acute Angle ◽  
Beam Model ◽  
Higher Order Modes ◽  
Hull Structure ◽  
Vertical Bending Moment

When the surface of a ship meets the water surface at an acute angle with a high relative velocity, significant short-duration forces can act on the hull plating. Such an event is referred to as a slam. Slam loads imparted on ships are generally considered to be of an impulsive nature. As such, slam loads induce vibration in the global hull structure that has implications for both hull girder bending strength and fatigue life of a vessel. A modal method is often used for structural analysis whereby higher order modes are neglected to reduce computational effort. The effect of the slam load temporal distribution on the whipping response and vertical bending moment are investigated here by using a continuous beam model with application to a 112 m INCAT wave-piercing catamaran and correlation to full-scale and model-scale experimental data. Experimental studies have indicated that the vertical bending moment is dominated by the fundamental longitudinal bending mode of the structure. However, it is shown here that although the fundamental mode is dominant in the global structural response, the higher order modes play a significant role in the early stages of the response and may not be readily identifiable if measurements are not taken sufficiently close to the slam location. A relationship between the slam duration and the relative modal response magnitudes is found, which is useful in determining the appropriate truncation of a modal solution.

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