The responses of a simple harmonically excited dry friction oscillator are analysed in the case when the coefficients of static and kinetic coefficients of friction are different. One- and two-parameter bifurcation curves are determined at suitable parameters by continuation method and the largest Lyapunov exponents of the obtained solutions are estimated. It is shown that chaotic solutions can occur in broad parameter domains—even at realistic friction parameters—that are tightly enclosed by well-defined two-parameter bifurcation curves. The performed analysis also reveals that chaotic trajectories are bifurcating from special asymmetric solutions. To check the robustness of the qualitative results, characteristic bifurcation branches of two slightly modified oscillators are also determined: one with a higher harmonic in the excitation, and another one where Coulomb friction is exchanged by a corresponding LuGre friction model. The qualitative agreement of the diagrams supports the validity of the results.

分析了简谐振动干摩擦振荡器在静摩擦系数和动摩擦系数不同的情况下的响应。用连续法在合适的参数处确定一参数和二参数分岔曲线，并估计所得解的最大李雅普诺夫指数。结果表明，混沌解可以出现在广泛的参数域中——即使是在现实的摩擦参数中——这些域被明确定义的两参数分岔曲线紧紧包围。所进行的分析还表明，混沌轨迹正在从特殊的非对称解中分叉出来。为了检查定性结果的稳健性，还确定了两个稍微修改的振荡器的特征分岔分支：一个在激励中具有更高的谐波，另一个库仑摩擦由相应的 LuGre 摩擦模型交换。图表的定性一致性支持结果的有效性。