Mechanical design of buckled beams for low-stiffness elastic suspensions: Theory and application

Abstract

Axially compressed buckled beams have been used for several decades as elastic suspensions characterized by high static stiffness and low dynamic stiffness. The most comprehensive mathematical modelling of buckled beams is based on the elastica theory, a rational framework that seeks the equilibrium configuration for arbitrarily large deflections and rotations. The use of the elastica model is straightforward for analysis purposes but is rather awkward for design tasks because it requires handling of elliptic functions. This paper presents approximate equations developed from the elastica solution to facilitate the structural synthesis of buckled-beam suspensions starting from high-level engineering specifications. The step-by-step design procedure is illustrated by means of a case study and the theoretical predictions are validated against test data and finite element results

Stochastic Jumping Robots for Large‐Scale Environmental Sensing

“…The strain energy (W ) in an axially loaded beam can be approximated using Equation (3), derived from work in ref. [28] W…”

Stochastic Swarms of Jumping Robots for Large-scale Environmental Sensing

“…The jumping energy in the robot prototypes is controlled through the dimensions of the beam. The strain energy (W ) in an axially loaded beam can be approximated using Equation (3), derived from work in (Scirè Mammano et al, 2017).…”

Configuration design and experimental verification of a variable constant-force compliant mechanism

“…Constant force mechanism (CFM) also known as quasi-zero stiffness mechanism, which can perform output a constant force in a certain range of input displacement [1][2][3]. The CFM that can maintain the output force in a specific value has been widely adopted in application of ultraprecision polishing, micromanipulation, and vibration isolation [4][5][6]. Generally speaking, the constant force can be realized by a closed-loop control method with force sensors and advanced algorithms.…”