An inverse algorithm of nonlinear load-displacement for a slotted disc spring geometric design

Fawazi, Noor; Yang, In Hyung; Kim, Jin Su; Lee, Jung Youn; Kim, Heung Seob; Oh, Jae Eung

doi:10.1007/s12541-013-0019-9

Cited by 6 publications

(4 citation statements)

References 8 publications

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“…n ), and ε δ � ( n i�1 F μi /m 1 ω n ), equations ( 18) and ( 19) can be nondimensionalized to obtain equations (20) and (21).…”

Section: Shock Dynamic Model Of the Ods Shockmentioning

confidence: 99%

“…Ozaki et al [18] performed static and dynamic analysis on the friction boundary of disc springs using the numerical method. Patangtalo et al [19] and Fawazi et al [20] also used the numerical method to study the load-displacement curves of combined disc springs and slotted disc springs. Gao and Yang [21] established a nonlinear stiffness model of disc springs element to meet the shock and vibration isolation requirements of the artillery system and explored the vibration isolation performance of this model.…”

Section: Introductionmentioning

confidence: 99%

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Shock Characteristics of the Opposed Disc Springs (ODS) Shock Isolator with Pretightening under Boundary Friction Condition

Hui

Yan

Zhang³

et al. 2021

Shock and Vibration

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In this study, to solve the problems of shock environment and shock isolation, about which there is still a lack of reasonable description, an isokinetic shock distinguishing method (ISDM), which can quantitatively distinguish between shock and forced vibration state, is presented. And the shock isolation performance of an opposed disc springs (ODS) shock isolator with pretightening under boundary friction condition is investigated. The static and dynamic stiffness properties of the ODS shock isolator are discussed. Relying on ISDM, a shock dynamic model of the ODS shock isolator with pretightening under boundary friction condition is established. The average method is adopted to solve the model theoretically. The shock acceleration ratio (SAR), shock displacement ratio (SDR), and relative displacement ratio (RDR) of the model are calculated using the numerical method and verified by experiments. Both numerical and experimental results show that ISDM is effective. And the effects on isolation efficiency of the number of disc springs, additional supporting force, pretightening force, load, and the shock velocity constant of the ODS shock isolator are discussed, which provide guidelines for its further practical application.

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“…n ), and ε δ � ( n i�1 F μi /m 1 ω n ), equations ( 18) and ( 19) can be nondimensionalized to obtain equations (20) and (21).…”

Section: Shock Dynamic Model Of the Ods Shockmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Shock Characteristics of the Opposed Disc Springs (ODS) Shock Isolator with Pretightening under Boundary Friction Condition

Hui

Yan

Zhang³

et al. 2021

Shock and Vibration

View full text Add to dashboard Cite

show abstract

“…The disc spring has strong buffer absorption capacity and can withstand large loads with small deformation [12][13][14], so as a buffering component it is very suitable for TRUM with very limited axial space working under high-overload conditions. In particular, the disc spring is a non-linear spring.…”

Section: Design Of Disc Spring For Trummentioning

confidence: 99%

Design of Travelling-Wave Rotating Ultrasonic Motor under High Overload Environments: Impact Dynamics Simulation and Experimental Validation

et al. 2019

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Nowadays, piezoelectric actuators are widely used, but are rarely applied in high overload environments due to th difficulty implementing them. Traveling wave rotary ultrasonic motors (TRUMs) have the characteristics of variable structure and are insensitive to overload, endowing them with the potential ability of high overload resistance. In this study, four TRUMs with different rotor structures are designed to work under the high-impact acceleration of 10,000 g through modifying the rotors with a designed slotted disc spring. The dynamics model is established, the impact process is simulated, and the results are analyzed successively. The high-impact test, deformation measurement and performance test of the motors are carried out to verify the modification. The results show that performance of the TRUMs with a disc spring declines much less than those without a disc spring after the high-impact test. The TRUM-4 with the modified rotor and disc spring has the best performance, the speed of which decreased only 1.6% at the torque of 0.15 N m, and it is considered to be capable of withstanding the high acceleration of 10,000 g. This work is significance for guiding the ultrasonic motors’ optimization to expand their application in high-overload environments.

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“…A novel mathematical model for slotted disk springs was developed by Ye and Yeh [31] in which the finite rotation and large deflection theories of a beam and a conical shell were used. Fawazi et al [32] proposed an energy method to characterize the mechanical characteristics of bent slotted disk springs, and an inverse algorithm was developed to design slotted disk springs with the desired load-deflection characteristics [33]. It should be mentioned that the above mathematical models developed to characterize the load-deflection characteristics were only employed for slotted disk springs with uniform thickness.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Testing for Slotted Disk Springs Considering Linearly Gradient Thickness and Friction

Du,

Sun

2023

Applied Sciences

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The slotted disk spring has been widely used given its nonlinear characteristics. However, the number of studies on them is limited, and the influences of nonuniform thickness have not been investigated theoretically and experimentally. Additionally, the hysteresis caused by friction has been neglected in most studies. By introducing the symmetric friction condition and the dimensionless thickness variation parameter, the present study establishes a mathematical model for slotted disk springs with linearly graded thickness. By treating the slotted segment as a number of cantilever beams with both a linearly gradient thickness and width, a new analytical formula is developed to characterize the load–deflection of slotted disk springs based on the moment equilibrium equation. The proposed model allows the direct quantification of the influences of the thickness variation parameter and the symmetric friction condition on the load–deflection characteristics. To validate the proposed model, slotted disk springs with different parameter configurations are designed and tested. Comparisons between measured and theoretical results illustrate that the proposed model can effectively describe the load–deflection characteristics of slotted disk springs with both uniform thickness and linearly gradient thickness. Due to the hypothetic linear variable width of slotted segments, the proposed model has a better performance in predicting slotted disk springs with rectangular slots.

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An inverse algorithm of nonlinear load-displacement for a slotted disc spring geometric design

Cited by 6 publications

References 8 publications

Shock Characteristics of the Opposed Disc Springs (ODS) Shock Isolator with Pretightening under Boundary Friction Condition

Shock Characteristics of the Opposed Disc Springs (ODS) Shock Isolator with Pretightening under Boundary Friction Condition

Design of Travelling-Wave Rotating Ultrasonic Motor under High Overload Environments: Impact Dynamics Simulation and Experimental Validation

Modeling and Testing for Slotted Disk Springs Considering Linearly Gradient Thickness and Friction

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