Vibration control constitutes a critical consideration in structural design, as excessive oscillations may precipitate fatigue damage, operational instability, and catastrophic failures. Dynamic vibration absorbers (DVAs), serving as passive control devices, demonstrate remarkable efficacy in mitigating structural vibrations across engineering applications. This study systematically investigates the design of DVAs for vibration suppression of a cantilevered plate through integrated theoretical modeling, parameter optimization, structural implementation, and experimental validation. Key methodologies encompass receptance coupling substructure analysis (RCSA) for system dynamics characterization and H∞ optimization for absorber parameter identification. Experimental results reveal 74.2–85.7% vibration amplitude reduction in target mode, validating the proposed design framework. Challenges pertaining to boundary condition uncertainties and manufacturing tolerances are critically discussed, providing insights for practical implementations.

The application of robotic milling manipulators demonstrates a promising method for the efficient manufacturing of large-scale structures. However, the cutting accuracy and efficiency of milling robots are predominantly subjected to their low stiffness, which may easily cause chatter during machining. Accurate prediction of chatter stability for robots is of practical importance and is challenging. This paper develops a dynamic model of flexible link elements by considering link flexibility and joint torsional deformation and then constructs a multi-link flexible coupled dynamic model using the receptance coupling substructure analysis (RCSA) method. Subsequently, the equivalent dynamic parameters are identified via the particle swarm optimization (PSO) algorithm. On this basis, the end-effector frequency response functions (FRFs) of the robot under different poses are predicted, and the stability lobe diagram (SLD) for milling is generated based on chatter theory. Finally, the predicted FRFs and stability regions are validated through modal tests and milling experiments. Experimental results demonstrate that the proposed model can predict the end-effector dynamic characteristics and chatter occurrence conditions under different poses, confirming its effectiveness in the analysis of milling chatter stability. Quantitative validation yields a maximum error of 3% for predicted first-order modal frequencies and relative modal amplitude errors below 10%, with experimentally confirmed critical depths of cut of 0.1–0.2 mm at 3000 rev/min and 0.5–0.6 mm at 5000 rev/min.

High-quality manufacturing of fiber-reinforced composites via Automated Fiber Placement (AFP) critically depends on layup-feasible path planning. Traditional projection-iteration methods on precise Computer-Aided Design (CAD) models employ a fixed step size, suffering from cumulative projection errors and limited control over geodesic curvature. To overcome these limitations, this paper presents an adaptive step-size projection-iteration method for generating geodesic paths. The method centers on developing a dynamic step-size control criterion derived from local differential geometry, which adjusts the iteration step length in real-time based on surface normal variation and an explicit upper bound on permissible geodesic curvature. The step size is reduced in high-curvature regions to bound projection errors and increased in flatter regions to improve efficiency. Subsequently, an iteratively adjusted geodesic offset strategy generates a complete set of coverage paths while maintaining a constant geodesic distance between adjacent courses to avoid gaps and overlaps. Numerical experiments on a bend plate and a turbofan fan blade validate the method's effectiveness. Sensitivity studies across four tow widths and four layup angles further confirm its robustness in maintaining spacing accuracy and curvature constraints under varying process settings. Results demonstrate that the proposed method achieves computational efficiency comparable to fixed-step methods while significantly enhancing geodesic curvature control and offset spacing uniformity, facilitating the transition from high-fidelity CAD design to high-quality composite manufacturing in AFP.