## 浮动卡钳式制动器英文文献和中文翻译

Abstract. The customers demand for ride comfort has led the automotive industries to look for various ways to reduce and control the brake noise. Intensive research on brake squeal (high frequency noise between 15 kHz) has been carried out.
Abstract. The customers’ demand for ride comfort has led the automotive industries to look for various ways to reduce and control the brake noise. Intensive research on brake squeal (high frequency noise between 1–5 kHz) has been carried out. A large variety of mathematical-mechanical models has been developed, studying various instability phenomena. The squeal is ascribed mainly to three reasons, alternative stick and slip motion between pad and disk [3,8], static instability due to excessive braking force [7], and dynamic instability arising from the friction force [1,2,4–6,9–13]. In this paper, a new model to study the onset of dynamic instability in a ﬂoating caliper disk brake is presented. Linearized equations of motion about equilibrium positions are derived assuming a constant braking force. The equations are subsequently discretized using Galerkin’s method. The eigenvalue
problem is then solved to detect the onset of instability.17089
1. A ﬂoating caliper disk brake model
A ﬂoating caliper disk brake, shown in Fig. 1, con-
sists of a brake rotor, housing, piston, yoke, and brake
pads. During operation, brake ﬂuid pressure applied to
the cylinder of the housing drives the piston to secure
contact between one of the brake pads and the disk.
Owing to the ﬂoating nature of the housing, the whole
assembly moves transversely to the rotor, bringing the
other brake pad into ﬁrm contact. The braking (fric-
tion) force is balanced by the yoke. According to ref-
erence [5], the yoke does not play a very important role
during squealing in the frequency range of 1–5 kHz.
The simpliﬁed model of the disk-brake assembly is
shown schematically in Fig. 2.
In the model, the disk is considered as an annular
ﬂexible thin plate rotatingwith angular velocityΩ. The
caliper is modeled by two bodies (masses m and M)
held together by a rotational spring (stiffness kT ). The

cylinder mass M is connected to the inner brake pad
by a spring (stiffness kc) and damper (damping coefﬁ-
cient dc). The connection between the caliper and theouter brake pad is assumed to be rigid. The masses of
both brake pads are neglected and the friction material
is modeled by distributed linear elastic springs (stiff-
ness/area kp) and dampers (damping coefﬁcient/area
dp). The braking pressure, P, is applied between the
inner brake pad and the base of the cylinder by oil.
In the next section, the equations of motion for this
model are derived with some assumptions for further
simpliﬁcation.
2. Equations of motion
Hamilton’s principle is used for the derivation of the
equations of motion for the ﬂoating caliper disk-brake
model. For a given system
where L = T − U, T and U being the kinetic and po-
tential energy, respectively, andW is the work done by
nonconservative forces. The expression for the kinetic
energy term of the rotating brake disk, modeled as a
Kirchhoff’s plate, is,摘要:
人们对于乘坐舒适性的需求促使汽车行业寻求减少和控制制动噪声的各种方式。通过对制动尖叫（（1-5千赫的高频噪音）进行深入研究，已经开发出各种数学力学模型，以研究各种不稳定现象。制动尖叫噪音主要归因于三个方面的原因：刹车片和盘之间的粘滑运动 [3,8]，过大制动力的静态不稳定[7]，以及由于摩擦力导致的动态不稳定 [1,2,4 - 6,9-13]。本文提出了一种研究浮动卡钳盘式制动器动态不稳定的新模型，即假设制动力量恒定，推导出平衡位置运动的线性方程，然后采用采用伽辽金法离散，解决本征值问题检测不稳定的发生
1 浮动卡钳钢盘式制动器模型 源自六"维%论:文*网!加7位QQ324'9114 www.lwfree.cn

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