实现思路：

使用AnimationBuilder配合Transform.translate组件，实现显式动画。

代码：

import 'dart:math';

import 'package:flutter/cupertino.dart';
import 'package:flutter/material.dart';

const shakeCount = 4;
const shakeDuration = Duration(milliseconds: 500);

class ShakeAnimationPage extends StatefulWidget {
  const ShakeAnimationPage({Key? key}) : super(key: key);

  @override
  _ShakeAnimationPageState createState() => _ShakeAnimationPageState();
}

class _ShakeAnimationPageState extends State<ShakeAnimationPage>
    with TickerProviderStateMixin {
  late final AnimationController _shakeController =
      AnimationController(vsync: this, duration: shakeDuration);

  shake() {
    _shakeController.forward();
  }

  @override
  void initState() {
    _shakeController.addListener(() {
      if (_shakeController.status == AnimationStatus.completed) {
        _shakeController.reset();
      }
    });
    super.initState();
  }

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: const Text("抖动效果"),
      ),
      body: Column(
        crossAxisAlignment: CrossAxisAlignment.stretch,
        mainAxisAlignment: MainAxisAlignment.center,
        children: [
          AnimatedBuilder(
            animation: _shakeController,
            builder: (context, child) {
              final sineValue =
                  sin(shakeCount * 2 * pi * _shakeController.value);
              return Transform.translate(
                offset: Offset(sineValue * 10, 0),
                child: child,
              );
            },
            child: const Text(
              "我是抖动文字",
              textAlign: TextAlign.center,
              style: TextStyle(color: Colors.orange),
            ),
          ),
          CupertinoButton(child: const Text("抖动"), onPressed: shake),
        ],
      ),
    );
  }
}