When they design mechanical systems, engineers first need to understand how they will behave using mathematical modelling tools that can simulate their movements. In recent years, they have increasingly explored the possibilities of ‘compliant’ mechanisms: highly flexible systems which are now being applied across numerous leading fields of technology. However, because their motions are often incredibly complex, engineers have so far found it difficult to recreate their behaviours in the mathematical tools needed to design them. Because they involve complex, nonlinear behaviour, designing compliant mechanisms has posed a long-standing challenge for engineers. While several advanced synthesis methods are now available, they’re often computationally intensive and can’t readily cope with the inevitable uncertainties in a system’s operating variables. In their latest research, Ahmed Alhindi and Dr. Meng-Sang Chew at Lehigh University, Pennsylvania, propose a novel approach that directly accounts for uncertainty in the design process. By reformulating widely used equations, their ‘dimensional synthesis’ method offers a streamlined yet powerful way to design compliant mechanisms under real-world, uncertain conditions.

Between 1982 and 2012, the 150-foot solar tower at Mount Wilson Observatory collected a vast archive of observations of the Sun’s surface. In a series of recent studies, Professor Roger Ulrich, together with colleagues Dr. Tham Tran and Dr. John Boyden at UCLA, have revisited these data, running a thorough recalibration of the findings. Their results led them to a crucial discovery: two properties of the Sun’s plasma which were once thought to be separate are actually two faces of the same underlying effect, which plays a fundamental role in shaping the Sun’s magnetic field throughout the solar cycle.

Building the next generation of particle accelerators depends on solving surprisingly small but stubborn material-related problems. Dr Jerzy Lorkiewicz and his collaborators of the National Centre for Nuclear Research in Poland tackled one of the toughest challenges: how to make lead films stick firmly to niobium, to realise his vision of a fully superconducting electron injector. By implanting lead ions into the niobium before adding a lead layer, his team created a smoother, more durable bond that resisted peeling. This innovation brings us closer to more efficient electron injectors for powerful particle accelerators.