Active design of tooth profiles using parabolic curve as the line of action

This paper proposes a method for the design of gear tooth profiles using parabolic curve as its line of action. A mathematical model, including the equation of the line of action, the equation of the tooth profile, and the equation of the conjugate tooth profile, is developed based on the meshing theory. The equation of undercutting condition is derived from the model. The influences of the two design parameters, that present the size (or shape) of the parabolic curve relative to the gear size, on the shape of tooth profiles and on the contact ratio are also studied through the design of an example drive. The strength, including the contact and the bending stresses, of the gear drive designed by using the proposed method is analyzed by an FEA simulation. A comparison of the above characteristics of the gear drive designed with the involute gear drive is also carried out in this work. The results confirm that the proposed design method is more flexible to control the shape of the tooth profile by changing the parameters of the parabola.

From space immaterial: the invisibility of the lawscape

This article aims to interrogate law's ambivalent relationship with urban space. It deals with the paradoxical relation between law and the city, visibility and invisibility, materiality and abstraction, and polis and metropolis. It builds on previous work on the lawscape, namely the priority of invitation by law or the city to be conditioned by the other, and expands this line of thought towards a more tangible understanding of visibility and its mutual constitution with invisibility. We believe that spatialisation is a relevant avenue for law's (re)conceptualisation because it moves away from a description of humanism based on the universality of subjectivity, and paves the way for a particularised and material description of law's multiplicity that specifically addresses law's social positioning. This inevitably leads to a dematerialisation of space and the reinstatement of circularity between concreteness and abstraction. Inspired by some of the themes addressed by the contributors in this issue, we begin constructing a vocabulary of lawscaping, where law and urban space are brought together in an epistemological embrace that targets and eventually questions the solipsistic way in which the two of them have been conceptualised so far.

Interrupting the courtroom organism: screaming bodies, material affects and the theatre of cruelty

This article offers a method of reading the courtroom which produces an alternative mapping of the space. My method combines a reading of Antonin Artaud’s Theatre of Cruelty with a Deleuzian theoretical analysis. I suggest that this is a useful method since it allows examination of the spatial praxes of the courtroom which pulsate with a power to organize, terrorize and to judge. This method is also able to conceptualize the presence of ‘‘screaming’’ bodies and living matter which are appropriated to build, as well as feed the presence and functioning of the courtroom space, or organism. By using a method that articulates the cry of these bodies in the shadow of the organism, it becomes clear that this cry is both unwelcome and suppressed by the courtroom. The howl of anxious bodies enduring the process and space of the law can be materialized through interruptions to the courtroom, such as when bodies stand when they should not and when they speak when they should be silent. These vociferous actualizations of the scream serve only to feed the organism they seek to disturb, yet if the scream is listened to before it disrupts, the interruption becomes-imperceptible to the courtroom. Through my Artaudian/Deleuzian reading, I give a voice to the corporeal gasp that lingers before the cry, which is embedded within the embodied multiplicity from which it is possible to draw a creative line of flight. The creative momentum of this line of flight produces a sustainable interruption to the courtroom process, which instead of being consumed by the system, has the potential to produce new courtroom alignments. My text therefore offers an alternative reading of the courtroom, and in doing so also offers a refined understanding of how to productively ‘‘interrupt’’ the courtroom process.