Erratum: “Corner-Filleted Flexure Hinges” [ASME J. Mech. Des., 123, No. 3, pp. 346–352]

Lobontiu, , Nicolae; Paine, , Jeffrey S. N.; Garcia, and , Ephrahim; Goldfarb , Michael

doi:10.1115/1.1431262

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Erratum: “Corner-Filleted Flexure Hinges” [ASME J. Mech. Des., 123, No. 3, pp. 346–352]

Nicolae Lobontiu,,

Nicolae Lobontiu,

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Jeffrey S. N. Paine,,

Jeffrey S. N. Paine,

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Ephrahim Garcia, and,

Ephrahim Garcia, and

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Michael Goldfarb

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J. Mech. Des. Jun 2002, 124(2): 358 (1 pages)

https://doi.org/10.1115/1.1431262

Published Online: May 16, 2002

The correct equations (¹⁵), (¹⁶) and (¹⁷) are:

C_{11} = 12 / ({Ebt}^{3}) {l - 2 r + 2 r [t (4 r + t) (6 r^{2} + 4 rt + t^{2}) + 6 r {(2 r + t)}^{2} t^{1 / 2} {(4 r + t)}^{1 / 2} a tan {(1 + 4 r / t)}^{1 / 2}] {(2 r + t)}^{- 1} {(4 r + t)}^{- 3}}

(15)

C_{12} = - 6 l / [{Ebt}^{3} (2 r + t) {(4 r + t)}^{2}] {(4 r + t) [l (2 r + t) {(4 r + t)}^{2} - 4 r^{2} (16 r^{2} + 13 rt + 3 t^{2})] + 12 r^{2} {(2 r + t)}^{2} t^{1 / 2} {(4 r + t)}^{1 / 2} a tan {(1 + 4 r / t)}^{1 / 2}}

(16)

C_{22} = 3 / (Eb) {4 (l - 2 r) (l^{2} - lr + r^{2}) {(3 t^{3})}^{- 1} + 1 / 2 {{t^{1 / 2} {(4 r + t)}^{1 / 2} [- 80 r^{4} + 24 r^{3} t + 8 (3 + 2 π) r^{2} t^{2} + 4 (1 + 2 π) {rt}^{3} + π t^{4}] + 4 {(2 r + t)}^{3} (6 r^{2} - 4 rt - t^{2}) a tan {(1 + 4 r / t)}^{1 / 2}} {(2 t^{5 / 2} {(4 r + t)}^{5 / 2})}^{- 1} + [- 40 r^{4} + 8 {lr}^{2} (2 r - t) + 12 r^{3} t + 4 (3 + 2 π) r^{2} t^{2} + 2 (1 + 2 π) {rt}^{3} + π t^{4} / 2] t^{- 2} {(4 r + t)}^{- 2} + 8 l^{2} r (6 r^{2} + 4 rt + t^{2}) {(2 r + t)}^{- 1} t^{- 2} {(4 r + t)}^{- 2} - {2 (2 r + t) [- 24 {(l - r)}^{2} r^{2} - 8 r^{3} t + 14 r^{2} t^{2} + 8 {rt}^{3} + t^{4}] a tan {(1 + 4 r / t)}^{1 / 2}} t^{- 5 / 2} {(4 r + t)}^{- 5 / 2}}} .

(17)

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