Added mass and wave radiation damping for flow-induced rotational vibrations of skinplates of hydraulic gates

One observed vibration mode for Tainter gate skinplates involves the bending of the skinplate about a horizontal nodal line. This vibration mode can be approximated as a streamwise rotational vibration about the horizontal nodal line. Such a streamwise rotational vibration of a Tainter gate skinplate must push away water from the portion of the skinplate rotating into the reservoir and draw water toward the gate over that portion of the skinplate receding from the reservoir. The induced pressure is termed the push-and-draw pressure. In the present paper, this push-and-draw pressure is analyzed using the potential theory developed for dissipative wave radiation problems. In the initial analysis, the usual circular-arc skinplate is replaced by a vertical, flat, rigid weir plate so that theoretical calculations can be undertaken. The theoretical push-and-draw pressure is used in the derivation of the non-dimensional equation of motion of the flow-induced rotational vibrations. Non-dimensionalization of the equation of motion permits the identification of the dimensionless equivalent added mass and the wave radiation damping coefficients. Free vibration tests of a vertical, flat, rigid weir plate model, both in air and in water, were performed to measure the equivalent added mass and the wave radiation damping coefficients. Experimental results compared favorably with the theoretical predictions, thus validating the theoretical analysis of the equivalent added mass and wave radiation damping coefficients as a prediction tool for flow-induced vibrations. Subsequently, the equation of motion of an inclined circular-arc skinplate was developed by incorporating a pressure correction coefficient, which permits empirical adaptation of the results from the hydrodynamic pressure analysis of the vertical, flat, rigid weir plate. Results from in-water free vibration tests on a 1/31-scale skinplate model of the Folsom Dam Tainter gate are used to demonstrate the utility of the equivalent added mass coefficient.

We Did It Our Way: Motivations, Satisfactions, and Accomplishments of Senior Academic Women

In a survey of senior academic women whose careers began around 1970, over half of the 98 respondents cited the desire to serve or make a difference and sought personal fulfillment in their work. Most saw men’s motivations as dissimilar, typically as more self-interested and competitive. Despite generally high satisfaction, dissatisfaction with time pressure/workload and with support was common. Satisfactions and accomplishments overlapped. Frequently mentioned were teaching, scholarship, and their discipline, especially by faculty, and programmatic accomplishments, especially by administrators. Many respondents mentioned helping women; many mentioned a collaborative, nurturing style as integral to their success and as different from their typical male colleagues. Context is provided by the metaphor of immigration (Martin, 1997, 2000), the concept of ambivalent sexism (Krefting, 2003; Glick & Fiske, 1999), and recent work on women and leadership by Eagly and colleagues (e.g., Eagly, 2005; Eagly & Carli, 2007).