Dynamic Buckling of Cylindrical Shells with Arbitrary Axisymmetric Thickness Variation under Time Dependent External Pressure

Fan, Haigui; Chen, Zhiping; Feng, Wenzhuo; Zhou, Fan; Cao, Guowei

doi:10.1142/s0219455414500539

Cited by 22 publications

(9 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…( 24), taking into account the normalization factors in Eq. ( 19), the normalized kinetic energy is written as (26) where is defined as the ratio between the beam thickness and length.…”

Section: Kinetic Energymentioning

confidence: 99%

See 1 more Smart Citation

Static and dynamic post-buckling analyses of irregularly constrained beams under the small and large deformation assumptions

Jiao

Borchani

Hasni

et al. 2017

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

Post-buckling phenomenon has been performing advantages in many applications. In particular, buckling snap-through of slender beams under lateral constraints is of great research interest since low-rate and low-frequency excitations can be transformed into high-rate motions. Electrical energy can be generated from ambient energies through the process. Efficient conversion of the energy phases requires sufficient control over post-buckling response. However, inadequate studies have been conducted to investigate the influence of different lateral constraints on buckling mode transitions. This study aims at developing static and dynamic theoretical models to capture buckling snap-though of slender beams subjected to irregularly bilateral constraints. The models are created based on small and large deformations assumptions, respectively. An algorithm is introduced to discretize the irregular constraints into a gap vector. The equilibrium equations in the presented models are solved using an energy method that minimizes the total energy in the gap vector with respect to the weight coefficient (C m ) of different buckling modes. Experiments were carried out to validate the theoretical results. Good agreements were observed. The proposed models are then used to investigate the effects of the linearly and sinusoidally varied constraints on the beams' post-buckling response. It is found that the deformed shapes of the beams meet the patterns of the constraints. Both the static and dynamic large deformation models are able to measure the end-shortenings that result in severe rotation of the beams' neutral axes. Significant shifting is observed between the deflected beam shapes solved by the static and dynamic models. The presented models are effective in understanding and predicting the static and dynamic post-buckling responses of irregularly constrained beams under small and large deformation assumptions.

show abstract

“…( 24), taking into account the normalization factors in Eq. ( 19), the normalized kinetic energy is written as (26) where is defined as the ratio between the beam thickness and length.…”

Section: Kinetic Energymentioning

confidence: 99%

“…The solutions were given by combining Newton linearization with harmonic balance and Galerkin's methods. Fan et al [26] and Dung et al [27] studied the dynamic buckling response of cylindrical shells under time-dependent compressions. The governing questions were obtained based on the Donnell simplified principles.…”

Section: Introductionmentioning

confidence: 99%

Static and dynamic post-buckling analyses of irregularly constrained beams under the small and large deformation assumptions

Jiao

Borchani

Hasni

et al. 2017

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

show abstract

“…It was noticed that the buckling factors of monolithic laminates reduce with increase in cut out size, however, a significant variation could not be observed in sandwich laminates with cut outs. The critical buckling load of cylindrical shells with axisymmetric thickness variation subjected to uniform time varying external pressure was analyzed by Fan et al . Linear and parabolic variations of thickness were considered to develop the analytical model.…”

Section: Buckling and Post‐buckling Responses Of Cylindrical Shell Unmentioning

confidence: 99%

Recent developments in investigation on buckling and post buckling responses of laminated composite shells

Rajamohan

2017

Polymer Composites

View full text Add to dashboard Cite

This paper presents the state of art in the field of composite shells with focus on stress analysis, buckling and post-buckling responses under mechanical and thermal loading. Many researchers have investigated the buckling and post-buckling responses of cylindrical, conical, spherical, thin and thick composite shells with single and doubly curved shells under mechanical and thermal loading. From the literature it can be inferred that hydrostatic pressure, axial compression and thermal environment influence the buckling behavior of laminated composite shell significantly. An effort is taken to review the research on buckling and postbuckling responses of cylindrical and conical shaped shells under mechanical and thermal loading and their behavior during buckling and post-buckling conditions. POLYM. COMPOS., 00:000-000,

show abstract

“…The governing equations have been determined using linear shell theory and the natural frequencies and mode shapes were obtained numerically. Fan et al [11] presented an analytical method to investigate dynamic buckling load for a shell with variable thickness subjected to uniform external pressure based on the Donnell equations. Mahboubi Nasrekani and Eipakchi [12][13][14][15] investigated the effect of…”

Section: Introductionmentioning

confidence: 99%

Structural Dynamic Modification of Cylindrical Shells With Variable Thickness

Nasrekani

Kumar

Narayan

2020

Volume 3: Design and Analysis

View full text Add to dashboard Cite

In this paper, the effects of some geometrical parameters on dynamic behavior of cylindrical shells with constant and variable thickness are studied. The equation of motion for the shell with constant thickness is extracted based on classical shell theory using Hamilton’s principle. These equations which are a system of coupled partial differential equations are solved analytically and the natural frequency is determined for cylindrical shells with constant thickness. The natural frequency for cylindrical shells with variable thickness is determined using finite element method by employing ANSYS. The results are compared and the effect of different geometric parameters such as length, thickness, and radius on natural frequency is discussed. The specific ranges for geometric parameters have been determined in which there is no significant difference between shells with constant or variable thickness. Cylindrical shells with variable thickness have better stress and strain distribution and optimum weight, in compare with the shells with constant thickness and it is important to know in which ranges of dimensions and geometrical parameters, there are some significant differences between their mechanical properties such as natural frequency. The results are compared with some other references.

show abstract

Dynamic Buckling of Cylindrical Shells with Arbitrary Axisymmetric Thickness Variation under Time Dependent External Pressure

Cited by 22 publications

References 21 publications

Static and dynamic post-buckling analyses of irregularly constrained beams under the small and large deformation assumptions

Static and dynamic post-buckling analyses of irregularly constrained beams under the small and large deformation assumptions

Recent developments in investigation on buckling and post buckling responses of laminated composite shells

Structural Dynamic Modification of Cylindrical Shells With Variable Thickness

Contact Info

Product

Resources

About