Related Experiment Video
Updated: Jan 20, 2026

Spatial Molecular Imaging of the Glycome Using Mass Spectrometry
Published on: November 28, 2025
Analytical modelling of spatial deformation pathways in planar and spatial shallow bistable arches
Safvan Palathingal1, G K Ananthasuresh1
1Department of Mechanical Engineering, Indian Institute of Science, Bengaluru 560012, India.
Abstract:
We analyse spatial bistable arches and present an analytical model incorporating axial, two transverse bending and torsion energy components. We extend the St. Venant and Michell relationship used in flexural-torsional buckling of planar arches and use it in modelling spatial arches. We study deformation pathways in spatial arches and their effect on critical characteristics of bistability such as back and forth switching forces, and the distance travelled by a point of the arch. We show that not considering spatial deformation leads to incorrect inferences concerning the bistability of planar arches too. Thus, this model serves as a generalized framework for the existing analysis on planar arches since they belong to a subset of spatial arches. Additionally, the effects of eccentric loading on spatial deformations are explored for arches with a range of as-fabricated shapes and boundary conditions, and the results are validated with finite-element analysis.
Related Concept Videos
Depth Perception and Spatial Vision
Crystal Field Theory - Tetrahedral and Square Planar Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
The Arch of Aorta
Encircling the heart, the coronary arteries form a ring-like structure before...
Plastic Deformations
Plastic Deformations
Temperature Dependent Deformation

