Nonlinear wind-induced aerodynamic stability of orthotropic saddle membrane structures

Wang

et al. 2019

Shock and Vibration

Self Cite

“…where Δk x and Δk y denote the principal curvature increments in x and y directions, respectively. By means of Airy's stress function φ � φ(x, y, t), we can obtain [30]…”

Section: Dynamic Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Theoretical and Numerical Studies on Damped Nonlinear Vibration of Orthotropic Saddle Membrane Structures Excited by Hailstone Impact Load

Wang

et al. 2019

Shock and Vibration

Self Cite

“…saddle membrane structures, umbrella membrane structures and pneumatic membrane structure; Pagitz and Pellegrino, 2007) are more extensively in application and deserve to be studied. Liu et al (2017) and Xu et al (2011) investigated the nonlinear wind-induced aerodynamic stability of orthotropic saddle membrane structure. Rizzo et al (2011) and Wu et al (2015) studied the aero-elastic instability mechanism of hyperbolic paraboloid membrane structures by wind tunnel experiment.…”

Section: Introductionmentioning

confidence: 99%

Hailstone-induced dynamic responses of pretensioned umbrella membrane structure

Advances in Structural Engineering

Wang

Deng

et al. 2020

Self Cite

The membrane structure is a flexible structure, which is easy to vibrate or even relax under dynamic load. Engineering accident analysis shows that the relaxation of membrane structure is more likely to lead to structural failure. In this article, the impact load problem is combined with the flexible structure to analyze the impact of hailstone impact load on the dynamic response of membrane structure. First, the umbrella membrane stretching device was designed and manufactured, and the hailstone impact test was carried out on the umbrella membrane structure with polyvinyl chloride membrane material. Dynamic response data, tension relaxation of side cables and vibration deformation of umbrella membrane structures impacted by hailstones with different sizes and different characteristic points were obtained. In the numerical analysis, the form-finding analysis of umbrella membrane structure is carried out by finite element method, and the transient impact analysis is conducted in LS-DYNA. Finally, the reliability of the research results is verified by comparing the numerical and experimental results. The general laws and conclusions are drawn and the disaster-causing mechanism of membrane structure impacted by hailstone is revealed. On the whole, although the probability of hailstone destroying the membrane material directly is very small, it will relax the membrane structure and affect the safety of membrane structure. The conclusions of this article provide a theoretical basis for the design and maintenance of membrane structures.

Journal of Applied Mechanics

“…Applications utilizing membrane structures are prevalent, ranging from traditional areas in mechanical engineering, civil engineering, space and aeronautics, etc. [1,2] to more modern areas such as robotics, biological devices, and musical instruments [3,4]. This is mainly because this type of structure is both relatively lightweight and highly flexible, which are often requirements for this diverse range of applications.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of Orthotropic Rectangular Membrane Structures Including Modal Coupling

Dong

Zheng

Todd

2018

The membrane structure has been applied throughout different fields such as civil engineering, biology, and aeronautics, among others. In many applications, large deflections negate linearizing assumptions, and linear modes begin to interact due to the nonlinearity. This paper considers the coupling effect between vibration modes and develops the theoretical analysis of the free vibration problem for orthotropic rectangular membrane structures. Von Kármán theory is applied to model the nonlinear dynamics of these membrane structures with sufficiently large deformation. The transverse displacement fields are expanded with both symmetric and asymmetric modes, and the stress function form is built with these coupled modes. Then, a reduced model with a set of coupled equations may be obtained by the Galerkin technique, which is then solved numerically by the fourth-order Runge–Kutta method. The model is validated by means of an experimental study. The proposed model can be used to quantitatively predict the softening behavior of amplitude–frequency, confirm the asymmetric characters of mode space distribution, and reveal the influence of various geometric and material parameters on the nonlinear dynamics.