Abstract
This paper presents the dynamic characteristics analysis of a rigid body system with spatial multi-point elastic supports, as well as the sensitivity analysis of support parameters. A rigid object is characterized by six degrees-of-freedom (DOFs) motions and considering the spatial location vector decomposition of elastic supports, a rigid body system dynamic model with spatial multi-point elastic supports is derived via the Lagrangian energy method. The system modal frequencies are calculated, and to be verified by finite element modal analysis results. Next, based on the above-mentioned model, system modal frequencies are obtained under different support locations, where the support stiffness components are different. Interpolate the stiffness components corresponding to each support location, calculate system modal frequencies, and the response surface model (RSM) for system modal frequencies is established. Further, based on the RSM modal analysis results, the allowable support location for the system modal insensitive area can be obtained. At last, a lubricating oil-tank system with four supports is taken as an example, and the effects of support spatial locations and stiffness components on the system inherent characteristics are discussed. This present work can provide a basis for the dynamic design of the spatial location and stiffness for this type of installation structures.
Highlights
Some parts of the devices equipped in the industry engineering applications such as aerospace, energy and power, vehicle engineering, and robotics field have the typical characteristics of a rigid body system with spatial multi-point elastic supports, and there are complex rigid body motions [1,2,3]
Extract of the main structural parameters of the rigid body, according to the global coordinate system O-XYZ, as shown in Tables 1 and 2, where the x-axis is along the axial direction of the casing, the y-axis is along the normal direction of the casing, and z-axis is along the tangential direction of the casing
Modal Analysis and Model Verification supports location, and the first six natural frequencies of the rigid body system are calcuThe oil tank is modeled elements, which ar lated by the simplified established dynamic model to be 576 Hz,using
Summary
Some parts of the devices equipped in the industry engineering applications such as aerospace, energy and power, vehicle engineering, and robotics field have the typical characteristics of a rigid body system with spatial multi-point elastic supports, and there are complex rigid body motions [1,2,3]. In the design process of the aero-engine lubricating oil-tank and installation structure, it is, of great need to carry out reasonable dynamic analysis of the rigid body system with spatial multipoint elastic supports. The high-power diesel engine-generator set for locomotives or ships is typically a rigid body system with multi-point supports, and it has the characteristics of multi-point elastic supports in space, multiple source excitation, wide frequency domain, complex system dynamics, and is prone to coupled vibrations. There are few studies on the dynamics of rigid body systems with spatial multi-point elastic supports, and there is a gap in the dynamics research of the lubrication oil tank-mounting structure system. This paper takes the aero-engine lubrication oil tank-mounting structure system as a representative object to study the dynamic characteristics of a rigid body system with spatial multi-point elastic supports. Some new results for the rigid body structural system with multiple elastic supports are illustrated, and some suggestions are given from an engineering point of view to guide the dynamic design of the rigid structural system
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