Probabilistic dynamic analysis of truss structures

2002 ◽  
Vol 13 (2) ◽  
pp. 231-239 ◽  
Author(s):  
J.J. Chen ◽  
J.W. Che ◽  
H.A. Sun ◽  
H.B. Ma ◽  
M.T. Cui
Keyword(s):  
Dynamic Analysis ◽  
Truss Structures

Extended continuum model for dynamic analysis of beam-like truss structures with geometrical nonlinearity

2020 ◽  
Vol 103 ◽  
pp. 105927 ◽  
Author(s):  
Shilei Cao ◽  
Mingying Huo ◽  
Naiming Qi ◽  
Ce Zhao ◽  
Dongfang Zhu ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
Continuum Model ◽  
Geometrical Nonlinearity ◽  
Truss Structures

scholarly journals Dynamic Analysis of Spatial Truss Structures Including Sliding Joint Based on the Geometrically Exact Beam Theory and Isogeometric Analysis

2020 ◽  
Vol 10 (4) ◽  
pp. 1231 ◽  
Author(s):  
Zhipei Wu ◽  
Jili Rong ◽  
Cheng Liu ◽  
Zhichao Liu ◽  
Wenjing Shi ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
Isogeometric Analysis ◽  
Jacobian Matrix ◽  
Beam Theory ◽  
Truss Structures ◽  
Lagrangian Multiplier ◽  
Geometrically Exact Beam ◽  
Sliding Joint ◽  
Internal Forces ◽  
Geometrically Exact Beam Theory

With increasing of the size of spatial truss structures, the beam component will be subjected to the overall motion with large deformation. Based on the local frame approach and the geometrically exact beam theory, a beam finite element, which can effectively reduce the rotational nonlinearity and is appropriate for finite motion and deformation issues, is developed. Dynamic equations are derived in the Lie group framework. To obtain the symmetric Jacobian matrix of internal forces, the linearization operation is conducted based on the previously converged configuration. The iteration matrix corresponding to the rotational parameters, including the Jacobian matrix of inertial and internal forces in the initial configuration, can be maintained in the simulation, which drastically improves the computational efficiency. Based on the Lagrangian multiplier method, the constraint equation and its Jacobian matrix of sliding joint are derived. Furthermore, the isogeometric analysis (IGA) based on the non-uniform rational B-splines (NURBS) basis functions, is adopted to interpolate the displacement and rotation fields separately. Finally, three dynamic numerical examples including a deployment dynamic analysis of spatial truss structure are conducted to verify the availability and the applicability of the proposed formulation.

scholarly journals Analysis of damping ratio on the optimization of geometrically nonlinear truss structures subjected to dynamic loading

2020 ◽  
Vol 19 (3) ◽  
pp. 321-334
Author(s):  
Élcio Cassimiro Alves ◽  
◽  
Larissa Bastos Martinelli ◽  
Keyword(s):  
Dynamic Analysis ◽  
Dynamic Loading ◽  
Geometric Nonlinearity ◽  
Numerical Models ◽  
Damping Ratio ◽  
Nonlinear Dynamic Analysis ◽  
Truss Structures ◽  
Geometrically Nonlinear ◽  
Cross Sectional ◽  
Updated Lagrangian

The objective of this paper is to present the formulation for optimizing truss structures with geometric nonlinearity under dynamic loads, provide pertinent case studies and investigate the influence of damping on the final result. The type of optimization studied herein aims to determine the cross-sectional areas that will minimize the weight of a given structural system, by imposing constraints on nodal displacements and axial stresses. The analyses are carried out using Sequential Quadratic Programming (SQP), available in MATLAB’s Optimization Toolbox™. The nonlinear finite space truss element is defined with an updated Lagrangian formulation, and the geometrically nonlinear dynamic analysis performed herein combines the Newmark method with Newton-Raphson iterations. The dynamic analysis approach was validated by comparing the results obtained with solutions available in the literature as well as with numerical models developed with ANSYS® 18.2. A number of optimization examples of planar and space trusses under dynamic loading with geometric nonlinearity are presented. Results indicate that the consideration of damping effects may lead to a significant reduction in structural weight and that such weight reduction is proportional to increases in damping ratio.

Dynamic analysis, active and passive vibration control of double-layer hourglass lattice truss structures

2018 ◽  
Vol 22 (5) ◽  
pp. 1329-1356
Author(s):  
Zhen-Kun Guo ◽  
Xiao-Dong Yang ◽  
Wei Zhang
Keyword(s):  
Dynamic Analysis ◽  
Vibration Control ◽  
Double Layer ◽  
Sandwich Structure ◽  
Control Method ◽  
Active Vibration Control ◽  
Sandwich Beam ◽  
Single Layer ◽  
Truss Structures ◽  
Improved Method

Although single-layer sandwich materials have been extensively studied in the engineering field, multilayered sandwich structures have rarely been concerned, especially on their dynamic analysis or vibration control. In this study, the dynamics of a double-layer hourglass sandwich beam is investigated by an improved method developed to simplify the calculations. The active vibration control is also analyzed. By using Hamilton’s principle, the governing equations are derived and the natural frequencies are calculated by our improved method. The results have been validated by comparing with the data obtained by traditional method, and finite element method. The contributions of both structural and material parameters on the dynamics of the double-layer sandwich beam are also investigated. The velocity feedback control method is employed to act as controllers on vibration suppressing of the sandwich structure actively. Further, nonlinear energy sink is used to control the vibration of the sandwich structure passively.

Dynamic analysis of geometrically nonlinear truss structures

1983 ◽  
Vol 17 (4) ◽  
pp. 491-497 ◽  
Author(s):  
S. Abrate ◽  
C.T. Sun
Keyword(s):  
Dynamic Analysis ◽  
Truss Structures ◽  
Geometrically Nonlinear

Dynamic analysis of a copper alloy model cage affected by the current and wave

2015 ◽  
Vol 8 (1) ◽  
pp. 32
Author(s):  
Sun-Haw Kim ◽  
Sun-In Jung ◽  
Ji-Hoon Lee
Keyword(s):  
Dynamic Analysis ◽  
Copper Alloy
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