Skip to Main Content
 

Global Search Box

 
 
 

ETD Abstract Container

Abstract Header

Nonlinear Stiffness and Edge Friction Characterization of Coned Disk Springs

Mastricola, Nicholas Palma
http://orcid.org/0000-0002-2186-2967
http://rave.ohiolink.edu/etdc/view?acc_num=osu1480346443676492

Abstract Details

2016, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
The focus of this scholarly research is on the nonlinear stiffness and interfacial friction characterization of coned disk springs which belong to a family of diaphragm springs. Prior researchers had analytically developed the coned disk spring’s load-deflection relationship under over simplified assumptions with minimal experimental validation while ignoring the nonlinear stiffness characteristics. To overcome such deficiencies, this dissertation proposes new quasi-static and dynamic experiments to measure the disk spring’s load-deflection relationship in the presence of edge friction. The scope is, however, limited to the square-edged coned disk spring element and its primary parallel stack configuration and two primary series stack configurations. For these example cases, refined nonlinear stiffness and damping models are proposed over the full range of displacements under several interfacial edge friction conditions, and distinct regimes are defined. First, a quasi-static experiment is developed to measure the midrange nonlinear load-deflection characteristics under four principal interfacial edge configurations — two symmetric and two asymmetric. The experiment allows direct quantification of the friction contribution at each edge. Accordingly, a refined analytical single disk spring load-deflection model, which allows the natural elasto-kinematic behavior of the disk spring to assert itself by relaxing prior limiting geometric assumptions, is developed to clarify the effect of edge friction on the load-deflection relationship including hysteresis. Next, full-range displacement-dependent stiffness characteristics are determined via measured parameters for all example configurations; nine distinct physically motivated regimes are then defined. Measured hysteretic force difference characteristics are clarified as well. A continuously nonlinear stiffness expression is analytically derived and then used as a basis for the development of a novel semi-analytical piecewise nonlinear stiffness model. Comparisons between the analytical, semi-analytical, and measured stiffness characteristics are made over the aforementioned regimes. Finally, a dynamic characterization experiment (using the modal test method) is developed to examine the dynamic behavior in the context of a single degree of freedom oscillator. Acceleraces at several preload-set operating points, over the complete displacement range of the disk spring, are measured and used to estimate effective stiffness and damping parameters. Then, a new nonlinear dynamic model based on the semi-analytical stiffness expression is constructed. This dissertation makes several distinct contributions to existing literature. Foremost is the measurement of load-deflection relationships in the presence of edge friction and a novel semi-analytical piecewise nonlinear stiffness model. Furthermore, both formulations are validated by carefully-designed laboratory experiments. Finally, a nonlinear dynamic model with discontinuous stiffness properties is proposed and experimentally evaluated. This dissertation should lead to interesting vibration isolation and load sensing applications.
Rajendra Singh, PhD (Advisor)
Brian Harper, PhD (Committee Member)
Shaurya Prakash, PhD (Committee Member)
Jason T. Dreyer, PhD (Committee Member)
205 p.
Mechanical Engineering
Continuous nonlinearity, piecewise nonlinearity, preload device, vibration isolators, experimental methods, stiffness characterization techniques, friction interfaces, analytical models, disk springs

Recommended Citations

Citations

  • Mastricola, N. P. (2016). Nonlinear Stiffness and Edge Friction Characterization of Coned Disk Springs [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1480346443676492

    APA Style (7th edition)

  • Mastricola, Nicholas. Nonlinear Stiffness and Edge Friction Characterization of Coned Disk Springs. 2016. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1480346443676492.

    MLA Style (8th edition)

  • Mastricola, Nicholas. "Nonlinear Stiffness and Edge Friction Characterization of Coned Disk Springs." Doctoral dissertation, Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1480346443676492

    Chicago Manual of Style (17th edition)

osu1480346443676492
365
© 2016, some rights reserved.Creative Commons License Nonlinear Stiffness and Edge Friction Characterization of Coned Disk Springs by Nicholas Palma Mastricola is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by The Ohio State University and OhioLINK.