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Geometrical operating parameter’s analysis used in flexural cartridges

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Abstract

Flexural cartridge/suspension is compliant mechanism that is used in nano precision engineering application due to its excellent advantages of providing no backlash, no friction and compact in size. These inbuilt qualities which are obtained help them to suit as a single one piece coupling that serves kinematic–mechanical behavior with small and very large deflection for variety of applications. The spiral shaped flexural cartridge is used in multiple number and multiple configurations to achieve the desired output for an application. To address the net deflection as the output (net deflection of the stack in assembled condition) it is very necessary to understand the changes which are brought in the geometrical parameters of the spiral shaped flexural cartridge/suspension. The importance geometrical parameters of spiral shape cartridge is been reported in this paper. The paper reviews the key concepts, technical advancements, identifying the most sensitive parameters of the spiral shaped flexural cartridge. This paper presents a guide to select the most appropriate parameter for the application engaged in flexural system.

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Abbreviations

\(\mathrm{\varnothing }\) :

Involute angle

\(\uptheta \) :

Total subtended angle by the spiral

\(\frac{\uptheta }{{\uptheta }_{\mathrm{o}}}\) :

Relative sweep angle

\(\mathrm{a}\) :

Base circle radius

\(\mathrm{b}\) :

Width between the first and last layer (Pitch)

\(\mathrm{f}\) :

Arm shape factor

\(\mathrm{r}\) :

Radius of the spiral at a given angle

\(\mathrm{k}\) :

Initail staring radius

°C:

Temperature in Celcius

\(\mathrm{x}\) :

X coordinate of the point through which the spiral curve passes

\(\mathrm{y}\) :

Y coordinate of the point through which the spiral curve passes

AISI:

American Iron and Steel Institute

BeCu:

Berrylium copper

CAD:

Computer aided design

CSB:

Concentric spiral bearing

DOF:

Degree of freedom

ESB:

Eccentric spiral bearing

FELA:

Flexure-based electromagnetic linear actuator

LVDT:

Linear variable differential transformer

MICA:

Moving iron controllable actuator

Mn:

Manganese

MPa:

Mega Pascal

PRBM:

Pseudo rigid body model

\(\mathrm{R}\) :

Polar distance from the centre of the flexure,

\({\mathrm{R}}_{\mathrm{i}}\) :

Inner radius,

\({\mathrm{R}}_{\mathrm{o}}\) :

Outer radius,

Ti:

Titanium

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  1. Department of Mechanical Engineering, Datta Meghe College of Engineering, Airoli, Navi Mumbai, 400078, India

    Sachin Manohar Shinde

  2. Department of Mechanical Engineering, Sardar Patel College of Engineering, Bhavan’s Campus, Bhavans College Rd, Munshi Nagar, Andheri West, Mumbai, 400058, India

    Kiran Bhole

  3. Department of Mechanical Engineering, Ahmedabad Institute of Technology, Ahmedabad, Gujarat, 380061, India

    Mohit Diwan

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Shinde, S.M., Bhole, K. & Diwan, M. Geometrical operating parameter’s analysis used in flexural cartridges. Int J Interact Des Manuf (2023). https://doi.org/10.1007/s12008-023-01331-7

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