Constraint-force-based approach of modelling compliant mechanisms: principle and application

Numerous works have been conducted on modelling basic compliant elements such as wire beams, and closed-form analytical models of most basic compliant elements have been well developed. However, the modelling of complex compliant mechanisms is still a challenging work. This paper proposes a constraint-force-based (CFB) modelling approach to model compliant mechanisms with a particular emphasis on modelling complex compliant mechanisms. The proposed CFB modelling approach can be regarded as an improved free-body- diagram (FBD) based modelling approach, and can be extended to a development of the screw-theory-based design approach. A compliant mechanism can be decomposed into rigid stages and compliant modules. A compliant module can offer elastic forces due to its deformation. Such elastic forces are regarded as variable constraint forces in the CFB modelling approach. Additionally, the CFB modelling approach defines external forces applied on a compliant mechanism as constant constraint forces. If a compliant mechanism is at static equilibrium, all the rigid stages are also at static equilibrium under the influence of the variable and constant constraint forces. Therefore, the constraint force equilibrium equations for all the rigid stages can be obtained, and the analytical model of the compliant mechanism can be derived based on the constraint force equilibrium equations. The CFB modelling approach can model a compliant mechanism linearly and nonlinearly, can obtain displacements of any points of the rigid stages, and allows external forces to be exerted on any positions of the rigid stages. Compared with the FBD based modelling approach, the CFB modelling approach does not need to identify the possible deformed configuration of a complex compliant mechanism to obtain the geometric compatibility conditions and the force equilibrium equations. Additionally, the mathematical expressions in the CFB approach have an easily understood physical meaning. Using the CFB modelling approach, the variable constraint forces of three compliant modules, a wire beam, a four-beam compliant module and an eight-beam compliant module, have been derived in this paper. Based on these variable constraint forces, the linear and non-linear models of a decoupled XYZ compliant parallel mechanism are derived, and verified by FEA simulations and experimental tests.

An exploration of the impact of the Green-Schools programme on the development of sustainable behaviours in the home

Concern for the sustainability of our planet is widespread. The ever-increasing economic activity and large scale industralisation our consumer society requires has increased concerns among academics, politicians, and consumers alike on natural resource depletion, waste management, dangers of toxic chemicals, and climate change. Human consumption is causing major issues for the space we inhabit. Much work has been done over the past four decades to remedy human impact on our environment at corporate, policy and consumer level. But concerns on our ability to progress the sustainability agenda remain. Consumer behaviour plays a pivotal role in sustainable development. In light of this, we need to explore and understand the ways in which consumption occurs in consumers lives, with an aim to changing behaviours that do not support the natural environment. Questions on how to change consumer behaviour dominate much of the literature on sustainable consumption, but substantial behaviour change among individuals has not occurred as predicted. Some focus has shifted to look at upstream interventions, such as education. The Green-Schools Programme (known internationally as Eco-Schools) is one such intervention. The aim of this thesis was to explore consumption in the context of the Green-Schools Programme. The main research question asks: in the context of the Green-Schools, how are sustainable behaviour practices developed in the home? The findings presented in this thesis show that sustainable behaviour has developed in the home from both internal and external factors, the Green-Schools effect being one such factor; the programme does influence behaviour in the home context to some degree. One of the main findings of this research indicates that schoolchildren are imparting ‘positive pester power’ on household behaviour practices and the majority of households are passively practicing sustainable consumption. These findings contribute to knowledge on sustainable consumption in the home context.