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Questão 37 (Português e Inglês) da 2ª fase do IME 2022

Português e Inglês · Inglês: Informações explícitas e detalhes

PARA AS QUESTÕES DE 36 A 39, RESPONDA DE ACORDO COM O TEXTO 3. · Português e Inglês

Text 3

Weight reduction of a carbon fibre composite wheel

Stefan Czypionka and Frank Kienhöfer

Abstract — The wheel of a passenger vehicle must be designed to be safe and light. (...) Manufacturing and testing carbon fibre reinforced plastics (CFRP) prototypes is expensive. Thus, it is advantageous to develop simulation models for composite weight reduction. The simulation models can provide insight into how lighter CFRP wheels can be designed. This study presents the design development of a CFRP wheel for a high-performance roadster; the CFRP wheel is offered by an automotive manufacturer as a high-performance option instead of aluminium wheels. Finite element (FE) simulations were initially conducted assuming an isotropic material. This initial model was used to eliminate stress concentrations and to design and manufacture an initial CFRP wheel. The CFRP wheel weight is 6.8 kg as compared to the original aluminium wheel which weighs 8.1 kg. This initial design passed the dynamic cornering fatigue test (the most stringent strength test for wheels). Thereafter the wheel was instrumented with strain gauges, and a bending moment was applied to the hub using a custom-built test rig. The test rig produced a static load equivalent to the dynamic cornering fatigue test (in which the applied bending moment varies sinusoidally). (...)

1. Introduction

1.1 Background

The wheel is arguably one of the most important components of a road going vehicle. It is responsible for the transmission of power from the drive components of the vehicle to the road, while also enabling the vehicle to make directional changes. Overdesigning a wheel by adding material increases the wheel mass and rotational inertia which negatively affects the vehicle’s performance and efficiency. This has led to substantial development efforts to reduce the wheel weight and rotational inertia while simultaneously maintaining or increasing the material strength. A wheel must be designed to be safe and light.

Numerous research studies have been published on the development of steel and aluminium wheels. Steel and aluminium alloy wheels have arguably reached the peak of possible weight reduction and composite materials offer the next advance. Despite the tremendous potential of carbon fibre as an automotive material due to high strength, low density and superior fatigue properties,              (38)              . Giger and Ermanni demonstrated the development process of a CFRP motorcycle rim. However, this wheel was not tested to certified standards. Rondina et al. investigated a high volume production method for carbon fibre wheels. The paper simulated the production process; however, no certified wheel appears to have been produced. As early as 1979, studies have been conducted into the viability of composites for use as automotive wheels.

Unlike isotropic materials, CFRP components are expensive to test and certify. Even small changes in geometry to prevent failure or reduce stresses could cause a production line to be retooled during the development process and existing equipment to be scrapped. This research paper illustrates the development of a validated finite element (FE) model to investigate laminate configurations to improve the stiffness of the CFRP wheel and be 18% lighter than the original aluminium wheel. The case study is of an original equipment (OE) wheel designed and manufactured by Blackstone Tek (BST). (...)

https://doi.org/10.1515/secm-2019-0018 Received Jan 28, 2019; accepted Feb 25, 2019.
Adapted from: Weight reduction of a carbon fibre composite wheel. Available at: <https://www.researchgate.net/ publication/335093782_Weight_reduction_of_a_carbon_fibre_composite_wheel/link/5d4e2546299bf1995b736a54/download> [Accessed on May, 3rd, 2021].

Choose the correct option.

  1. A
    It had always been burdensome to design light and strong wheels up to some time in the past.
  2. B
    Manufacturers routinely make and test several kinds of CFRP wheels nowadays.
  3. C
    This text discusses two different kinds of wheel.
  4. D
    In a test, the wheel had some measuring devices added after its design had been approved.
  5. E
    The aluminium wheel is lighter than the CFRP wheel, but it is also cheaper.
Escolha uma alternativa para conferir o gabarito.
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Resolução comentada

Vamos conferir cada alternativa com o texto.

O resumo diz que a roda de CFRP inicial foi projetada e fabricada a partir de um modelo de elementos finitos e que ela passou no teste dinâmico de fadiga em curva ("This initial design passed the dynamic cornering fatigue test"). Em seguida vem: "Thereafter the wheel was instrumented with strain gauges", isto é, depois disso a roda recebeu extensômetros (strain gauges, que são instrumentos de medição) e foi submetida a um momento fletor.

Portanto, os instrumentos de medição foram acrescentados à roda depois que o projeto já tinha sido aprovado no teste. Isso corresponde exatamente à alternativa D.

As demais não se sustentam:

  • A: o texto não diz que sempre foi difícil projetar rodas leves e resistentes.
  • B: o texto diz que fabricar e testar protótipos de CFRP é caro, então não é rotina.
  • C: o texto trata de três tipos (aço, alumínio e CFRP), não de dois.
  • E: a roda de alumínio pesa 8,1 kg e a de CFRP pesa 6,8 kg, então o alumínio é mais pesado.

Alternativa D.

Pegadinha: A alternativa E engana ao inverter os pesos: o alumínio (8,1 kg) é mais pesado que o CFRP (6,8 kg).

Por que as outras alternativas estão erradas

  • AO texto não afirma que sempre foi difícil projetar rodas leves e resistentes; a afirmação é exagerada e sem base.
  • BO texto diz que fabricar e testar protótipos de CFRP é caro, o que contradiz a ideia de rotina.
  • CO texto menciona rodas de aço, alumínio e CFRP, ou seja, três tipos.
  • EA roda de alumínio (8,1 kg) é mais pesada que a de CFRP (6,8 kg).

Assunto: Informações explícitas e detalhes.

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Ver como caiu na prova Questão 37 no caderno Português e Inglês da 2ª fase do IME 2022

Fonte: IME 2ª fase 2022 · Português e Inglês. Prova oficial ↗