The effect of swingarm stiffness on motorcycle stability: Experimental measurements and numerical simulations

This paper focuses on the effect of swingarm deformability on motorcycle stability and in particular on the weave mode. Multibody models for the analysis of stability and handling of single track vehicles require a lumped element representation of the deformability of the critical structural elements of the vehicle. The twist axis method is used to identify lumped stiffness and damping elements able to represent bending and torsion deformability of the swingarm. Experimental tests and identification results dealing with two different swingarms are presented. The identified lumped stiffness and damping elements are implemented in a multibody code and some numerical stability analyses are carried out. Calculated results show that swingarm deformability has a small effect on the stability of super sport motorcycles, whereas the stability of the weave mode of enduro motorcycles is affected by swingarm deformability in a specific range of speeds

Optimal time and space regularity for solutions of degenerate differential equations

We derive optimal regularity, in both time and space, for solutions of the Cauchy problem related to a degenerate differential equation in a Banach space X. Our results exhibit a sort of prevalence for space regularity, in the sense that the higher is the order of regularity with respect to space, the lower is the corresponding order of regularity with respect to time

Parametric analysis of the stability of a bicycle taking into account geometrical, mass and compliance properties

Some studies of bicycle dynamics have applied the Whipple Carvallo bicycle model (WCBM) for the stability analysis. The WCBM is limited, since structural elements are assumed to be rigid bodies. In this paper, the WCBM is extended to include the front assembly lateral compliance, and analysis focuses on the study of the open loop stability of a benchmark bicycle. Experimental tests to identify fork and wheel properties are performed, this data is used in the stability analysis for ranking the influence of design parameters. Indexes from the eigenvalues analysis are applied in a full factorial approach. The results show that introducing front assembly compliance generates a wobble mode with little effect on self-stability. The forward displacement of the centre of mass of the rear frame and the increment in trail lead to large increments in the self-stability, whereas increments in front wheel radius and wheelbase reduce stability

On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations

For those semigroups, which may have power type singularities and whose generators are abstract multivalued linear operators, we characterize the behaviour with respect to a certain set of intermediate and interpolation spaces. The obtained results are then applied to provide maximal time regularity for the solutions to a wide class of degenerate integro- and non-integro-differential evolution equations in Banach spaces

Morphology and functionality of the type II pneumocytes and their variation in relation to bovine gestational age

Este estudo objetivou caracterizar a presença de pneumócitos tipo II e o início da produção de lipoproteína surfactante em bovinos, correlacionando a idade gestacional com a síntese de surfactante durante o desenvolvimento fetal. Pulmões de fetos com quatro meses de idade gestacional estavam na fase canalicular de desenvolvimento, sem a presença de pneumócitos tipo II ou bandas eletroforéticas compatíveis com a presença de proteínas surfactante. No 5° mês gestacional, os pulmões dos fetos encontravam-se em fase de saculação terminal, com a presença de alvéolos por epitélio cúbico, com áreas formadas por pneumócitos I e II. Nesse período ainda não foi possível identificar proteína surfactante nos pulmões. Esses órgãos em fetos com seis meses de idade gestacional estavam em fase de saco terminal, com presença de pneumócitos tipo I e II. Nessa fase a análise para determinação protéica do surfactante de feto bovino (SDS - PAGE) demonstrou presença de bandas entre 26 e 36kDa, confirmando produção de SP - A, proteína surfactante encontrada em maior quantidade. A partir do 7° mês gestacional, a fase de saco terminal é mais evidente e complexa, com desenvolvimento de intensa vascularização. O pneumócito tipo I apresentava aspecto mais pavimentoso, e o tipo II apresentava aspecto mais globoso. Na análise SDS - PAGE do lavado bronco - alveolar, bandas de proteína surfactante com aspecto similar ao de animais recém-nascidos foram encontradas. Em recém-nascidos, pulmões na fase alveolar foram observados com pneumócitos tipo I e II característicos. O perfil das bandas do lavado bronco-alveolar dos recém-nascidos foi igual ao de animais adultos. Esses achados sugerem que um animal nascido precocemente, a partir dos sete meses de gestação, teria sua sobrevivência garantida devido a uma possível funcionalidade do sistema respiratório do feto, pois o pulmão possuiria as características necessárias para a síntese de proteínas surfactantes. Entretanto, mais estudos clínicos sobre a funcionalidade do sistema respiratório abrem novas fronteiras de experimentos sobre fisiologia respiratória em recém-nascidos bovinos.The aim of this study was to characterize the presence of type II pneumocyte and the beginning of the surfactant protein production in bovines to the correlated gestational age. Lungs of fetuses at 4 months gestational age were found to be in the canalicular development phase, without presence of type II pneumocytes or appearance of electrophoretic bands compatible with the presence of the surfactant protein. In fetuses at 5 months of gestational age, the lungs were at the terminal sac phase, with the presence of primitive alveolus, formed by cubical epithelium and areas formed by pneumocytes I and pneumocytes II. No electrophoretic bands compatible to the surfactants proteins were identified. In contrast, lungs of fetuses at 6 months of gestational age showed, development of terminal sac phase, with the presence of type I and type II pneumocytes. In this phase, proteic determination for the SDS - PAGE analysis showed the presence of bands between 26 to 36kDa, demonstrating SP - A production, which is the surfactant protein found in highest amount. From the 7th gestational month on, the phase of terminal sac is more evident and complex, with intense sprouting vascularization. The type I pneumocyte had a more squamous aspect and type II pneumocyte were more globular. In the SDS - PAGE analysis of the bronchial - alveolar wash, surfactant protein bands had been observed with a profile similar to that of the newborn animals. In newborn animals, lungs in alveolar phase showed the development of type I and II pneumocytes. The profile of the bronchial - alveolar wash from the newborn was similar to an adult animal, presenting the same bands in triplets. These results suggest that early born fetuses, from 7 months of pregnancy could have a guarantee of surviving due to possible functionality of respiratory system because the lung presented all necessary features for surphactant protein syntheses. However, new clinical studies related to respiratory system functionality open new venues for newborn bovine's experiments respiratory physiology