Bio: V. Ramamurti is an academic researcher. The author has contributed to research in topics: Computer Aided Design & Mechanical engineering technology. The author has an hindex of 1, co-authored 1 publications receiving 33 citations.
01 Jan 1987
14 Sep 2015
TL;DR: In this paper, the authors present a review of the state-of-the-art flexible formwork methods for precast concrete elements with complex, double-curved geometry.
Abstract: The production of precast, concrete elements with complex, double-curved geometry is expensive due to the high costcosts of the necessary moulds and the limited possibilities for mould reuse. Currently, CNC-milled foam moulds are the solution applied mostly in projects, offering good aesthetic performance, but also resulting in waste of material, relatively low production speed and fairly high costs per element. The flexible mould method aims to offer an economic alternative for this state of art technology by allowing repeated reuse of the same mould, and if necessary, reuse in adapted shape. A patent and literature review and comparison of state-of-art formwork methods reveals that, although the idea of a flexible formwork already dates from the mid-20th century, in building industry it has not yet found widespread application, and is still experimental to a large extent. In other industries, such as aerospace and automotive, flexible moulds are occasionally used for rapid prototyping purposes, mostly for the forming of thin metal sheets. The understanding of the flexible mould principle in terms of mechanics is still in development. In combination with concrete, the flexible mould has been industrially applied only on occasion. Deliberately imposed deformation of concrete after casting allows the use of only one single-sided flexible mould, but - being a method quite alien to normal precast concrete production - has hardly been investigated. Therefore, models are needed both for the flexible layer as well as it's use in combination with concrete. By analysing a number of architectural cases in terms of geometrical aspects, more information is gathered about building size, element thickness, curvature radius and number and type of elements. This information is used to define the type of shapes for which the flexible mould method would be suitable. Through the last 80 years, the shape of curved architecture has changed; whereas the early famous shell designers such as Isler and Torroja aimed for structurally optimized and material-efficient shapes, nowadays these shapes have mostly made place for free-form curves, in which parametric design or sculptural influences are leading. For larger projects, several hundreds to even thousands of uniquely curved elements are manufactured, varying in curvature radius in a range between 0.75 m and 45 m. Furthermore the contours and edge position can vary from element to element. Prediction of each element's edge position is non-trivial for the flexible mould method, especially not for elements with strong curvature. The deformation process can be described mathematically by analysing thecurvature parameters. An important and meaningful parameter is the Gaussian curvature. Depending on the change in Gaussian curvature, the imposed deformation of the mould surface and the concrete results in certain amounts of bending action (B) and in-plane surface stretching (S). Bending tensile strains in the still plastic concrete can be in the range of 25 to 50 for an element with 50 mm thickness, which is far more than the values normally encountered in concrete after casting. The application of in-plane shear deformation appears to be helpful to deform the mould from flat to double-curved. The exact positioning of the element edges can be determined from this in-plane shear deformation. The shape of the mould, in the present research, is controlled by a grid of actuators - extendible support points that follow the intended architectural shape. As mould surface, a thin rubber layer can be used, that, however, has to be supported by a material that is capable of carrying the weight of the concrete without visible deflection between the actuators. Various solutions are investigated for this support material, of which the strip mould offers the most accurate results and predictability. As said, the concrete in this method is deliberately deformed after casting in an open, single-sided mould. This requires control over both the fluidity and strain capacity of the fresh concrete: if the concrete is too fluid, it will flow out of the mould after deformation due to the slope of the mould, if it is already too stiff, cracks may occur. Various experiments are conducted to investigate the viability of the principle as well as the parameters that influence the risk of either flow or cracking. It appears that the use of a self-compacting concrete with thixotropic properties reduces both the risks: as a result of quick stabilisation after casting, the yield strength build-up will prevent flow once the mould is deformed and put at a certain slope. Thanks to it's plastic strain capacity, this type of concrete will be able to undergo the imposed deformation without cracking. An important measure to prevent this cracking is the curing of the concrete directly after casting and a deformation that takes place before initial setting time. Thin steel rebar, glass-fibre textiles or mixed fibres are all applicable as reinforcement, the latter two giving the best results. For the measurement of yield strength development of the concrete mixture before and after casting, various methods are investigated. Literature research and experiments demonstrate that, once the rheological behaviour of a mixture has been determined with a viscometer accompanied with slump (flow) tests, the correct moment of deformation of the flexible mould can later be determined from repeated slump (flow) tests with sufficient reliability. However, as soon as the mixture constituents will be adapted, new viscometer measurements have to be carried out again. The flexible mould method has been successfully tested on single- and double-curved precast concrete elements with a radius down to 1.50 m and an element thickness up to 50 mm. Until this moment, the maximum element size tested was approximately 2 x 1 m2, but larger elements are expected to be feasible. An integrated design-to-production process is required: due to the complex geometry and the impact of this geometry on all aspects of the manufacturing, all parties involved should cooperate to make the use of this method possible. Computational skills are needed to determine design parameters and control the manufacturing process. Several new questions were identified during the research, but at this moment, implementation of the flexible mould method in an industrial environment in cooperation with a concrete product manufacturer is the best way to determine the priorities for further research. From the full research it is concluded that the flexible mould method is viable for the production of double-curved concrete elements.
TL;DR: In this paper, a new approach to the stress analysis of spur gear teeth using finite element method and cyclic symmetry is presented, where each tooth is considered as an identical substructure of the gear wheel.
Abstract: This paper presents a new approach to the stress analysis of spur gear teeth using finite element method and cyclic symmetry. The boundary conditions imposed between the two adjacent teeth in the conventional F.E.M. are avoided in this approach. Each tooth is considered as an identical substructure of the gear wheel. The contact line load at one such substructure leads to an asymmetric loading of the wheel as a whole. This force system is resolved into a finite Fourier series to calculate the static stresses. Frequency analysis is carried out using a simultaneous iteration scheme to solve the eigenvalue problem. Out of core techniques such as submatrices elimination methods are adopted. These values are compared with the ones obtained by considering the tooth as a cantilever beam using Rayleigh's method. Transient response is obtained by using the modal superposition technique.
01 Jan 1998
TL;DR: In this paper, the displacement of a tooth is computed for each Fourier harmonic component of the contact line load and all the components are added to obtain the total displacement, which is used in the calculation of static stress in the teeth.
Abstract: This paper presents the findings of three-dimensional stress analysis of spur and bevel gear teeth by finite element method using cyclic symmetry concept. The displacement of a tooth is computed for each Fourier harmonic component of the contact line load and all the components are added to obtain the total displacement. This displacement is used in the calculation of static stress in the teeth. The natural frequencies and mode shapes are obtained using the submatrices elimination scheme.
TL;DR: In this article, a detailed qualitative study of the coupled free vibration characteristics of rotating turbomachinery bladed disk systems having useful ranges of geometric parameters was carried out by using a three noded triangular shell element having six degrees of freedom per node together with the cyclic symmetric nature of the problem.
Abstract: A detailed qualitative study is presented of the coupled free vibration characteristics of rotating turbomachinery bladed disk systems having useful ranges of geometric parameters. The analysis is carried out by using a three noded triangular shell element having six degrees of freedom per node together with the cyclic symmetric nature of the problem. The blade and disk attachment is established by a set of constraint equations obtained by the Love-Kirchhoff hypothesis. The effects of rotation are included by using a stress smoothing technique while computing the geometric stiffness matrix. The contributions from membrane behaviour and transverse shear are included. The severely coupled systems are identified and an exhaustive parametric study is carried out for these systems to predict the influence of stagger and twist on natural frequencies for stationary as well as rotating systems. An assessment of Southwell's coefficients for these systems is made. Theoretical results agree closely with available experimental results.
TL;DR: In this article, the performance of two composite material bevel gears is compared with a carbon steel gear from a static strength and displacement point of view, and it is concluded that composite materials such as boron/epoxy can be very much thought of as a material for power transmission bevel gear.
Abstract: The possibility of using composite materials for power transmission spur gear, from a static strength point of view, have been proved by the authors in their previous study. In this present work an attempt has been made to study the behaviour of composite bevel gear from a static load point of view using a three-dimensional finite element method. The performance of two composite material bevel gears are presented and compared with a carbon steel gear. From a static strength point of view a glass epoxy bevel gear is slightly closer to a carbon steel bevel gear than a boron/epoxy bevel gear; but from a displacement point of view glass/epoxy deviates from that of carbon steel much more than boron/epoxy, unlike the case of a composite spur gear, where boron/epoxy was better both from strength and displacement points of view. Hence from the results it is concluded that composite materials such as boron/epoxy can be very much thought of as a material for power transmission bevel gears.