Nonlinear Buckling and Postbuckling of Shallow Arches With Vertical Elastic Supports

Zhou, Yang; Yi, Zhuangpeng; Stanciulescu, Ilinca

doi:10.1115/1.4042572

Cited by 15 publications

(3 citation statements)

References 53 publications

(71 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar analysis results were presented in papers [59] and [60], which conclusively describe the significant effect of support elasticity on the load capacity and stability of structures. Another interesting scientific issue is related to the influence of symmetric and asymmetric elastic supports on the nonlinear equilibria and buckling responses of arches [61]. It was identified that the stiffness of symmetric elastic supports greatly affects the bifurcation loads of secondary paths with asymmetric configurations.…”

Section: Further Concepts Of Computational and Experimental Methods D...mentioning

confidence: 99%

Archives of Civil Engineering

Piekarczuk

Więch

Kuczyński

et al. 2021

View full text Add to dashboard Cite

Double corrugated, self-supporting K-span arch structures are now commonly used globally to make roofs for building structures, as an alternative to traditional solutions. The K-span system has become popular mainly due to the simple and cheap method of its manufacturing and quick installation. Nowadays, new versions of the system are created but still there is no valid design method. Design difficulties are among the causes of failures or even collapses of such structures. Back in the 1970s, the first studies were developed concerning computational analyses of double corrugated arch roofs. They laid grounds for the development of contemporary K-span system technology but have since lost their practical advantages due to changing engineering conditions. The paper presents a review of research and computational methods concerning double corrugated arch structures. The paper discusses selected scientific studies, which were used as the basis for the development of research and computational methods, and their contemporary continuation. Directions for further research and analyses are also presented which could contribute to the future development of science and engineering in the area and could provide inspiration for future studies.

show abstract

Section: Further Concepts Of Computational and Experimental Methods D...mentioning

confidence: 99%

Archives of Civil Engineering

Piekarczuk

Więch

Kuczyński

et al. 2021

View full text Add to dashboard Cite

show abstract

“…The modeling and design of such macro-and micromechanical structures require the utilization of complicated geometrically and physically nonlinear models that account for the elastic deformation of continuous systems [13]. A substantial number of references in the current literature are dedicated to addressing such issues and challenges [11,[14][15][16][17][18][19][20]. Furthermore, a distinct and rapidly advancing research domain involves investigating the nonlinear statics and dynamics of macro-and micromechanical structures featuring geometric perturbations exposed to electric fields of varying configurations.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Structural Analysis of MEMS Shallow Arch Assuming Multimodal Initial Curvature Profiles

Alneamy,

Ouakad

2024

Mathematics

View full text Add to dashboard Cite

The present investigation focuses on the design and mathematical modeling of a microelectromechanical (MEMS) mode-localized based sensor/actuator system. This device incorporates a sensitive clamped–clamped shallow arch microbeam with an initial curvature shaped to resemble one of the first two symmetric and asymmetric modes of free oscillations of a clamped–clamped beam. The analysis reveals that with a suitable arrangement of the initial shape of the device flexible electrode and a proper tuning of the maximum initial rise and the actuating dc load enables the transition to display certain bistable behavior. This could be a better choice to build a device with a large stroke. Furthermore, the generated data showed the occurrence of mode-veering, indicating a coupling between the concerned symmetric and asymmetric modes of vibrations, and offering the possibility for such a device to be used as a mode-localized MEMS-based sensor utilizing veering and crossing phenomena. Indeed, where a certain energy is exchanged between symmetric and asymmetric modes of a microbeam, it can be utilized to serve as a foundation for the development of a new class of highly precise resonant sensors that can capture, with a certain level of precision, any of the sensed signal amplitudes.

show abstract

“…For example, the structured elastomer substrates with kirigami designs can introduce local rotational motions of the bonding sites to enable the formation of structures with chiral features and morphable shapes [39]. To establish the relationship between the final 3D geometry of buckling assembly and the initial 2D configuration as well as the mechanical loadings, most previous studies [44][45][46][47][48][49][50][51] focused on the prediction of final 3D geometries based on prescribed 2D configurations and mechanical loadings, which can be regarded as a type of forward problem. However, it is almost impractical to obtain sophisticated mesostructures with desired 3D shapes through this type of forward analyses, because it requires massive calculations of the forward problem, which is a cumbersome iterative trial-and-error procedure with rather low efficiency.…”

Section: Introductionmentioning

confidence: 99%

An Inverse Design Method of Buckling-Guided Assembly for Ribbon-Type 3D Structures

Fan

et al. 2019

Journal of Applied Mechanics

View full text Add to dashboard Cite

Mechanically guided three-dimensional (3D) assembly based on the controlled buckling of pre-designed 2D thin-film precursors provides deterministic routes to complex 3D mesostructures in diverse functional materials, with access to a broad range of material types and length scales. Existing mechanics studies on this topic mainly focus on the forward problem that aims at predicting the configurations of assembled 3D structures, especially ribbon-shaped structures, given the configuration of initial 2D precursor and loading magnitude. The inverse design problem that maps the target 3D structure onto an unknown 2D precursor in the context of a prescribed loading method is essential for practical applications, but remains a challenge. This paper proposes a systematic optimization method to solve the inverse design of ribbon-type 3D geometries assembled through the buckling-guided approach. In addition to the torsional angle of the cross section, this method introduces the non-uniform width distribution of the initial ribbon structure and the loading mode as additional design variables, which can significantly enhance the optimization accuracy for reproducing the desired 3D centroid line of the target ribbon. Extension of this method allows the inverse design of entire 3D ribbon configurations with specific geometries, taking into account both the centroid line and the torsion for the cross section. Computational and experimental studies over a variety of elaborate examples, encompassing both the single-ribbon and ribbon-framework structures, demonstrate the effectiveness and applicability of the developed method.

show abstract

Nonlinear Buckling and Postbuckling of Shallow Arches With Vertical Elastic Supports

Cited by 15 publications

References 53 publications

Archives of Civil Engineering

Archives of Civil Engineering

Modeling and Structural Analysis of MEMS Shallow Arch Assuming Multimodal Initial Curvature Profiles

An Inverse Design Method of Buckling-Guided Assembly for Ribbon-Type 3D Structures

Contact Info

Product

Resources

About